# User contributions

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- 07:44, 27 November 2017 (diff | hist) . . (+33) . . N User:Vipul/Sandbox (Created page with "<math>e^{\pi^2 + \sqrt{2}}</math>") (current)
- 20:24, 5 September 2016 (diff | hist) . . (+1) . . User:Vipul/sandbox (current)
- 20:24, 5 September 2016 (diff | hist) . . (+1) . . User:Vipul/sandbox
- 20:24, 5 September 2016 (diff | hist) . . (+1) . . User:Vipul/sandbox
- 20:21, 5 September 2016 (diff | hist) . . (+1) . . User:Vipul/sandbox
- 20:21, 5 September 2016 (diff | hist) . . (+3) . . User:Vipul/sandbox
- 20:20, 5 September 2016 (diff | hist) . . (+42) . . N User:Vipul/sandbox (Created page with "<math>\frac{e^{\sqrt{\pi}}{2^t - 1}</math>")
- 23:57, 17 April 2015 (diff | hist) . . (-53) . . MediaWiki:Sidebar (current)
- 23:57, 17 April 2015 (diff | hist) . . (-8) . . Template:Top notice (current)
- 21:17, 6 January 2012 (diff | hist) . . (0) . . Geodesic for a linear connection (→Definition part) (current)
- 21:17, 6 January 2012 (diff | hist) . . (+243) . . Geodesic for a linear connection (→Definition part)
- 21:13, 6 January 2012
(diff | hist) . .
**(+817)** . . N Geodesic for a linear connection (Created page with "==Definition== ===Given data=== * A connected differential manifold <math>M</math> with tangent bundle denoted by <math>TM</math>. * A [[defining ingredient::linear ...") - 21:05, 6 January 2012 (diff | hist) . . (-33) . . Ricci curvature (→In terms of Ricci curvature tensor) (current)
- 20:58, 6 January 2012 (diff | hist) . . (-6) . . Torus (Redirected page to Ring torus) (current)
- 20:57, 6 January 2012 (diff | hist) . . (+24) . . N 2-torus in Euclidean space (Redirected page to Ring torus) (current)
- 20:57, 6 January 2012
(diff | hist) . .
**(-3,790)** . . Torus in 3-space (Redirected page to Ring torus) (current) - 20:53, 6 January 2012 (diff | hist) . . (0) . . Torus in 3-space (→Definition)
- 18:02, 6 January 2012 (diff | hist) . . (+1) . . Transport along a curve (current)
- 17:59, 6 January 2012 (diff | hist) . . (+8) . . Levi-Civita connection (→Christoffel symbols) (current)
- 17:57, 6 January 2012 (diff | hist) . . (-2) . . Torsion of a linear connection (→Definition part) (current)
- 17:56, 6 January 2012 (diff | hist) . . (+258) . . Torsion is tensorial (→Statement) (current)
- 17:53, 6 January 2012 (diff | hist) . . (+136) . . Torsion is tensorial (→Statement)
- 17:52, 6 January 2012 (diff | hist) . . (+245) . . Torsion is tensorial (→Statement)
- 17:51, 6 January 2012
(diff | hist) . .
**(+969)** . . N Torsion is antisymmetric (Created page with "==Statement== Let <math>M</math> be a differential manifold and <math>\nabla</math> be a fact about::linear connection on <math>M</math> (viz., <math>\nabla</math> is...") (current) - 17:49, 6 January 2012 (diff | hist) . . (-26) . . Torsion is tensorial (→Statement)
- 17:48, 6 January 2012 (diff | hist) . . (+246) . . Torsion of a linear connection (→Tensoriality)
- 17:46, 6 January 2012 (diff | hist) . . (+373) . . Torsion of a linear connection
- 17:43, 6 January 2012
(diff | hist) . .
**(+1,073)** . . Torsion is tensorial (→Proof) - 17:36, 6 January 2012 (diff | hist) . . (+290) . . Torsion is tensorial (→Facts used)
- 17:36, 6 January 2012 (diff | hist) . . (0) . . Curvature is tensorial (→Facts used) (current)
- 17:29, 6 January 2012 (diff | hist) . . (+2) . . Linear connection (current)
- 17:24, 6 January 2012
(diff | hist) . .
**(-514)** . . Template:Further (Replaced content with "<tt>Further information: {{{1}}}</tt>") (current) - 17:20, 6 January 2012 (diff | hist) . . (+45) . . Connection is splitting of first-order symbol sequence (current)
- 22:59, 5 January 2012 (diff | hist) . . (+31) . . N Affine connection (Redirected page to Linear connection) (current)
- 00:18, 20 December 2011 (diff | hist) . . (-2) . . MediaWiki:Sidebar
- 00:16, 20 December 2011 (diff | hist) . . (+3) . . Curvature is tensorial (→Facts used)
- 00:15, 20 December 2011 (diff | hist) . . (+7) . . Curvature is tensorial (→Tensoriality in the first variable)
- 00:09, 20 December 2011 (diff | hist) . . (+281) . . Curvature is tensorial (→Proof)
- 16:54, 24 October 2011 (diff | hist) . . (+315) . . N Sandbox (Created page with "<math>H_q(\mathbb{Z}/p\mathbb{Z} \oplus \mathbb{Z}/p\mathbb{Z};M) = \left\lbrace\begin{array}{rl} (M/pM)^{(q+3)/2} \oplus (\operatorname{Ann}_M(p))^{(q-1)/2}, & \qquad q = 1,3,5,...") (current)
- 13:14, 12 August 2011 (diff | hist) . . (+8) . . Hyperbolic paraboloid (→Implicit and parametric descriptions) (current)
- 13:14, 12 August 2011 (diff | hist) . . (-44) . . Hyperbolic paraboloid
- 13:13, 12 August 2011
(diff | hist) . .
**(+1,469)** . . N Hyperbolic paraboloid (Created page with "==Definition== The surface type is ''not'' unique up to isometry or even up to similarity transformations, but rather, depends on multiple nonzero parameters <math>a,b</math>. I...") - 12:58, 12 August 2011
(diff | hist) . .
**(+686)** . . N Circular hyperboloid of one sheet (Created page with "==Definition== The surface type is ''not'' unique up to isometry or even up to similarity transformations, but rather, depends on multiple nonzero parameters <math>a,c</math>. I...") (current) - 12:55, 12 August 2011
(diff | hist) . .
**(+703)** . . Elliptic hyperboloid of one sheet (current) - 12:49, 12 August 2011
(diff | hist) . .
**(+893)** . . Ellipsoid in three-dimensional Euclidean space (current) - 12:42, 12 August 2011
(diff | hist) . .
**(+1,873)** . . N Elliptic hyperboloid of one sheet (Created page with "==Definition== The surface type is ''not'' unique up to isometry or even up to similarity transformations, but rather, depends on multiple nonzero parameters <math>a,b,c</math>....") - 12:32, 12 August 2011 (diff | hist) . . (+1) . . Ellipsoid in three-dimensional Euclidean space (→Definition)
- 12:31, 12 August 2011 (diff | hist) . . (+142) . . Ellipsoid in three-dimensional Euclidean space (→Definition)
- 12:29, 12 August 2011 (diff | hist) . . (+285) . . Ellipsoid in three-dimensional Euclidean space (→Implicit and parametric descriptions)
- 07:08, 12 August 2011 (diff | hist) . . (+200) . . Ring torus (→Related surfaces) (current)
- 06:53, 12 August 2011
(diff | hist) . .
**(+978)** . . Ring torus - 06:51, 12 August 2011 (diff | hist) . . (+253) . . Ring torus (→Related surfaces)
- 06:50, 12 August 2011
(diff | hist) . .
**(+1,091)** . . Ring torus - 06:45, 12 August 2011
(diff | hist) . .
**(+1,467)** . . N Ring torus (Created page with "==Definition== The '''ring torus''' is a form of embedding of the torus in three-dimensional Euclidean space. This surface type is ''not'' unique up to isometry or even up to si...") - 06:34, 12 August 2011 (diff | hist) . . (+12) . . Ellipsoid in three-dimensional Euclidean space
- 06:34, 12 August 2011
(diff | hist) . .
**(+2,519)** . . Ellipsoid in three-dimensional Euclidean space - 02:03, 6 August 2011 (diff | hist) . . (-3) . . Ellipsoid in three-dimensional Euclidean space (→Implicit and parametric descriptions)
- 02:01, 6 August 2011 (diff | hist) . . (-126) . . Ellipsoid in three-dimensional Euclidean space (→Fundamental forms and curvatures)
- 02:00, 6 August 2011
(diff | hist) . .
**(+1,019)** . . Ellipsoid in three-dimensional Euclidean space - 01:54, 6 August 2011 (diff | hist) . . (+64) . . Ellipsoid in three-dimensional Euclidean space (→Fundamental forms and curvatures)
- 01:53, 6 August 2011
(diff | hist) . .
**(+1,225)** . . Ellipsoid in three-dimensional Euclidean space - 01:42, 6 August 2011
(diff | hist) . .
**(+537)** . . Ellipsoid in three-dimensional Euclidean space (→Implicit and parametric descriptions) - 01:39, 6 August 2011 (diff | hist) . . (+400) . . Ellipsoid in three-dimensional Euclidean space (→Implicit and parametric descriptions)
- 01:37, 6 August 2011 (diff | hist) . . (+9) . . Ellipsoid in three-dimensional Euclidean space
- 01:37, 6 August 2011
(diff | hist) . .
**(+1,126)** . . N Ellipsoid in three-dimensional Euclidean space (Created page with "==Definition== This surface type is ''not'' unique up to isometry or even up to similarity transformations, but rather, depends upon multiple nonzero parameters <math>a,b,c</mat...") - 01:13, 6 August 2011 (diff | hist) . . (+60) . . N Ellipsoid (Redirected page to Ellipsoid in three-dimensional Euclidean space) (current)
- 15:05, 5 August 2011 (diff | hist) . . (+62) . . 2-sphere in Euclidean space (→Implicit and parametric descriptions) (current)
- 15:04, 5 August 2011
(diff | hist) . .
**(+2,183)** . . 2-sphere in Euclidean space - 14:52, 5 August 2011 (diff | hist) . . (+449) . . Doubly ruled surface (current)
- 14:50, 5 August 2011 (diff | hist) . . (+43) . . Ruled surface (→Examples) (current)
- 14:49, 5 August 2011 (diff | hist) . . (+32) . . Ruled surface (→Examples)
- 14:48, 5 August 2011
(diff | hist) . .
**(+2,674)** . . Ruled surface - 14:29, 5 August 2011 (diff | hist) . . (+265) . . Template:Surface-in-3D property (current)
- 23:43, 29 July 2011 (diff | hist) . . (+154) . . N File:2sphere.png (This file was created using [http://mathematica.wolfram.com Wolfram Mathematica 8.0] with the following code: <pre>Graphics3D[Sphere[{0, 0, 0}, 1]]</pre>) (current)
- 23:41, 29 July 2011 (diff | hist) . . (+197) . . N 2-sphere in Euclidean space (Created page with "==Definition== This is the special case of the sphere in Euclidean space where the sphere has dimension 2 and the Euclidean space it is embedded in has dimension 3. [[File:...")
- 23:30, 29 July 2011 (diff | hist) . . (+118) . . Surface of revolution (→Examples) (current)
- 23:24, 29 July 2011 (diff | hist) . . (0) . . Circle in the plane (→General definition) (current)
- 23:24, 29 July 2011 (diff | hist) . . (+27) . . Circle in the plane (→Definition)
- 23:21, 29 July 2011 (diff | hist) . . (+346) . . N File:Circle.png (This file was created using [http://mathematica.wolfram.com Wolfram Mathematica 8] with the following code: <pre>Graphics[{Circle[{0, 0}, 1], PointSize[0.02], Point[{0, 0}], Dashed, Line[{{0, 0}, {1, 0}}], Black, Text["p", {-0.05, -0.05}], Text["(c) (current)
- 23:14, 29 July 2011 (diff | hist) . . (+290) . . N File:Concentriccircles.png (This file was created using [http://mathematica.wolfram.com Wolfram Mathematica 8.0] with the following code: <pre>Graphics[{Circle[{0, 0}, 0.5], Circle[{0, 0}, 1], Circle[{0, 0}, 1.5], Circle[{0, 0}, 2], Circle[{0, 0}, 2.5], Circle[{0, 0}, 3], Poi) (current)
- 23:06, 29 July 2011 (diff | hist) . . (+482) . . N Family of concentric circles (Created page with "==Definition== Consider a Euclidean plane and a point <math>p</math> in the plane. The '''family of concentric circles''' centered at <math>p</math> is the family of all the...") (current)
- 22:13, 24 July 2011 (diff | hist) . . (0) . . Circle in the plane (→Families of circles)
- 22:10, 24 July 2011 (diff | hist) . . (+218) . . N Circle (Created page with "You might be referring to: * Circle (Riemannian manifold) * Circle in the plane If you're interested in circles from a purely topological perspective, check out [[Topos...") (current)
- 22:09, 24 July 2011 (diff | hist) . . (+1) . . Holonomy group (→Reduction of structure group to holonomy group) (current)
- 22:08, 24 July 2011 (diff | hist) . . (+39) . . N Restricted holonomy group of Riemannian metric (Redirected page to Restricted holonomy group) (current)
- 22:01, 24 July 2011 (diff | hist) . . (+156) . . Flat connection (→Definition) (current)
- 14:23, 24 July 2011
(diff | hist) . .
**(-568)** . . MediaWiki:Sidebar - 14:21, 24 July 2011 (diff | hist) . . (-335) . . MediaWiki:Sitenotice (Blanked the page) (current)
- 14:20, 24 July 2011 (diff | hist) . . (+18) . . Template:Quotation (current)
- 21:09, 25 February 2011 (diff | hist) . . (+227) . . Curvature is tensorial (→Proof)
- 21:03, 25 February 2011 (diff | hist) . . (+77) . . Curvature is tensorial
- 21:01, 25 February 2011 (diff | hist) . . (-1) . . Curvature is tensorial (→Tensoriality in the first variable)
- 21:00, 25 February 2011
(diff | hist) . .
**(+1,423)** . . Curvature is tensorial (→Proof) - 20:45, 25 February 2011
(diff | hist) . .
**(+970)** . . Curvature is tensorial - 14:37, 18 May 2010 (diff | hist) . . (0) . . Cosmological constant (→Definition) (current)
- 22:25, 24 July 2009 (diff | hist) . . (+3) . . Curvature of direct sum of connections equals direct sum of curvatures (current)
- 22:19, 24 July 2009
(diff | hist) . .
**(+738)** . . N Curvature of direct sum of connections equals direct sum of curvatures (Created page with '==Statement== Suppose <math>E,E'</math> are vector bundles over a differential manifold <math>M</math>. Suppose <math>\nabla,\nabla'</math> are connections on <math>…') - 22:15, 24 July 2009
(diff | hist) . .
**(+778)** . . N Dual connection to flat connection is flat (Created page with '==Statement== ===Statement in the language of connections=== Suppose <math>M</math> is a differential manifold, <math>E</math> is a vector bundle over <math>M</math>, a…') (current) - 22:13, 24 July 2009 (diff | hist) . . (-1) . . Formula for curvature of dual connection (→Applications) (current)
- 22:12, 24 July 2009
(diff | hist) . .
**(+702)** . . N Formula for curvature of dual connection (Created page with '==Statement== Suppose <math>M</math> is a differential manifold, <math>E</math> is a vector bundle over <math>M</math>, and <math>\nabla</math> is a [[fact about::connec…') - 21:53, 24 July 2009 (diff | hist) . . (+142) . . Tensor product of flat connections is flat (current)
- 21:53, 24 July 2009
(diff | hist) . .
**(+1,634)** . . N Tensor product of flat connections is flat (Created page with '==Statement== Suppose <math>M</math> is a differential manifold and <math>E,E'</math> are vector bundles over <math>M</math>. Suppose <math>\nabla, \nabla'</math> are [[…') - 21:47, 24 July 2009 (diff | hist) . . (+1) . . Tensor product of connections (→Facts) (current)
- 21:46, 24 July 2009
(diff | hist) . .
**(+886)** . . Tensor product of connections - 21:39, 24 July 2009
(diff | hist) . .
**(+856)** . . N Formula for curvature of tensor product of connections (Created page with '==Statement== Suppose <math>E,E'</math> are vector bundles over a differential manifold <math>M</math>. Suppose <math>\nabla,\nabla'</math> are connections on <math>…') (current) - 21:30, 24 July 2009 (diff | hist) . . (-65) . . Tensor product of metric connections is metric
- 21:29, 24 July 2009
(diff | hist) . .
**(+701)** . . N Tensor product of metric connections is metric (Created page with '==Statement== A differential manifold <math>M</math>. Two fact about::metric bundles <math>(E,g)</math> and <math>(E',g')</math> (i.e., <math>E,E'</math> are [[vector bu…') - 21:25, 24 July 2009 (diff | hist) . . (+1) . . Tensor product of connections
- 21:24, 24 July 2009
(diff | hist) . .
**(+1,181)** . . Direct sum of connections (current) - 21:23, 24 July 2009 (diff | hist) . . (+139) . . Tensor product of connections (→Distributivity with direct sum)
- 21:21, 24 July 2009 (diff | hist) . . (+473) . . N Direct sum of connections (Created page with '==Definition== Suppose <math>M</math> is a differential manifold and <math>E,E'</math> are vector bundles on <math>M</math>. Suppose <math>\nabla,\nabla'</math> are [[de…')
- 21:18, 24 July 2009 (diff | hist) . . (+452) . . Connection on a vector bundle (→Constructions) (current)
- 21:15, 24 July 2009
(diff | hist) . .
**(+2,812)** . . N Tensor product of connections (Created page with '==Definition== Suppose <math>E,E'</math> are vector bundles over a differential manifold <math>M</math>. Suppose <math>\nabla</math> is a [[fact about::connection on a v…') - 21:02, 24 July 2009 (diff | hist) . . (+259) . . Levi-Civita connection
- 20:54, 24 July 2009 (diff | hist) . . (-184) . . Levi-Civita connection (→Facts)
- 20:54, 24 July 2009 (diff | hist) . . (+17) . . Levi-Civita connection (→Christoffel symbols)
- 19:53, 24 July 2009 (diff | hist) . . (+460) . . Levi-Civita connection
- 18:43, 24 July 2009
(diff | hist) . .
**(+4,645)** . . N Levi-Civita connection exists and is unique (Created page with '==Statement== Suppose <math>M</math> is a differential manifold and <math>g</math> is a fact about::Riemannian metric or a fact about::pseudo-Riemannian metric. Then…') (current) - 18:42, 24 July 2009 (diff | hist) . . (+6) . . Corollary of Leibniz rule for Lie bracket (current)
- 16:13, 24 July 2009
(diff | hist) . .
**(-947)** . . Levi-Civita connection - 02:29, 24 July 2009 (diff | hist) . . (+57) . . Ricci curvature tensor (current)
- 02:28, 24 July 2009 (diff | hist) . . (+45) . . Ricci curvature tensor of Levi-Civita connection (→Definition) (current)
- 02:27, 24 July 2009 (diff | hist) . . (+86) . . Ricci curvature tensor of Levi-Civita connection
- 02:26, 24 July 2009 (diff | hist) . . (+63) . . Scalar curvature (current)
- 02:24, 24 July 2009 (diff | hist) . . (+2) . . Curvature is symmetric in the pairs of first and last two variables (→Proof) (current)
- 02:24, 24 July 2009 (diff | hist) . . (+16) . . Curvature is symmetric in the pairs of first and last two variables
- 02:23, 24 July 2009
(diff | hist) . .
**(+2,136)** . . N Curvature is symmetric in the pairs of first and last two variables (Created page with '==Statement== Suppose <math>M</math> is a differential manifold and <math>g</math> is a fact about::Riemannian metric or fact about::pseudo-Riemannian metric on <mat…') - 01:54, 24 July 2009 (diff | hist) . . (+129) . . Curvature is tensorial (→Related facts)
- 01:52, 24 July 2009 (diff | hist) . . (+178) . . Curvature is antisymmetric in last two variables (current)
- 01:51, 24 July 2009 (diff | hist) . . (+1) . . Curvature is antisymmetric in last two variables (→Proof)
- 01:50, 24 July 2009 (diff | hist) . . (-4) . . Curvature is antisymmetric in last two variables (→Proof)
- 01:50, 24 July 2009
(diff | hist) . .
**(+1,415)** . . Curvature is antisymmetric in last two variables - 01:28, 24 July 2009
(diff | hist) . .
**(+879)** . . N Curvature is antisymmetric in last two variables (Created page with '==Statement== Suppose <math>M</math> is a differential manifold and <math>g</math> is a fact about::Riemannian metric or fact about::pseudo-Riemannian metric and <ma…') - 01:23, 24 July 2009 (diff | hist) . . (+24) . . Second Bianchi identity (current)
- 01:22, 24 July 2009 (diff | hist) . . (+120) . . Riemann curvature tensor of Levi-Civita connection (current)
- 01:19, 24 July 2009 (diff | hist) . . (+36) . . Torsion is tensorial
- 01:18, 24 July 2009 (diff | hist) . . (+3) . . Torsion is tensorial (→Proof)
- 01:18, 24 July 2009 (diff | hist) . . (+12) . . Torsion is tensorial (→Facts used)
- 01:17, 24 July 2009 (diff | hist) . . (+246) . . Curvature is antisymmetric in first two variables (current)
- 01:14, 24 July 2009 (diff | hist) . . (+158) . . First Bianchi identity (current)
- 01:13, 24 July 2009 (diff | hist) . . (+36) . . First Bianchi identity
- 01:11, 24 July 2009 (diff | hist) . . (+22) . . Curvature is tensorial
- 01:11, 24 July 2009 (diff | hist) . . (+76) . . Curvature is tensorial
- 01:10, 24 July 2009 (diff | hist) . . (+18) . . Curvature is tensorial (→Proof)
- 00:42, 24 July 2009
(diff | hist) . .
**(+927)** . . Connection is module structure over connection algebra (→From a connection to a module structure) (current) - 00:26, 24 July 2009 (diff | hist) . . (+282) . . Connection is module structure over connection algebra (→From a connection to a module structure)
- 00:19, 24 July 2009 (diff | hist) . . (+28) . . Connection is module structure over connection algebra (→From a connection to a module structure)
- 00:18, 24 July 2009
(diff | hist) . .
**(+665)** . . Connection is module structure over connection algebra - 23:34, 23 July 2009 (diff | hist) . . (-111) . . Linear connection (→Curvature of a linear connection)
- 11:29, 27 March 2009 (diff | hist) . . (-24) . . Template:Top notice
- 11:22, 27 March 2009
(diff | hist) . .
**(-687)** . . Main Page (Replaced content with '{{top notice}}') (current) - 20:12, 25 February 2009 (diff | hist) . . (+61) . . Nm User:Jon Awbrey (Creating user page with biography of new user.)
- 20:12, 25 February 2009 (diff | hist) . . (+219) . . Nm User talk:Jon Awbrey (Welcome!) (current)
- 00:50, 13 February 2009 (diff | hist) . . (+26) . . Einstein metric (→Relation with other properties) (current)
- 15:47, 16 January 2009 (diff | hist) . . (+284) . . MediaWiki:Sidebar
- 15:39, 16 January 2009
(diff | hist) . .
**(+940)** . . Diffgeom:General disclaimer (current) - 01:43, 16 January 2009
(diff | hist) . .
**(+2,096)** . . N Diffgeom:Privacy policy (New page: This privacy policy is common to subject wikis. For the original privacy policy, refer Ref:Ref:Privacy policy. ==Privacy for readers== If you are surfing this website, your actions a...) (current) - 23:07, 15 January 2009 (diff | hist) . . (+244) . . MediaWiki:Sitenotice
- 22:51, 15 January 2009 (diff | hist) . . (+10) . . MediaWiki:Sidebar
- 22:28, 15 January 2009 (diff | hist) . . (+13) . . N Template:Sitestatus (New page: pre-pre-alpha) (current)
- 22:17, 15 January 2009
(diff | hist) . .
**(+5,923)** . . N Diffgeom:Copyrights (New page: This is a common copyright notice to all subject wikis. Original notice available at Ref:Ref:Copyrights. ==General license information== All content is put up under the [http://creat...) (current) - 22:16, 15 January 2009 (diff | hist) . . (+40) . . N Template:Fullsitetitle (New page: Diffgeom, The Differential Geometry Wiki) (current)
- 21:59, 15 January 2009 (diff | hist) . . (+1) . . Template:Top notice
- 21:56, 15 January 2009 (diff | hist) . . (+3) . . Template:Top notice
- 21:56, 15 January 2009 (diff | hist) . . (+361) . . N Template:Top notice (New page: {{quotation|Welcome to '''Groupprops (The Group Properties Wiki)'''. This is a pre-pre-alpha stage differential geometry wiki primarily managed by Vipul Naik, a Ph.D. studen...)
- 17:05, 11 September 2008 (diff | hist) . . (+91) . . N MediaWiki:Sitenotice (New page: 75px|right The Differential Geometry wiki (pre-pre-alpha))
- 17:03, 11 September 2008 (diff | hist) . . (0) . . N File:Logo.jpg (current)
- 17:01, 11 September 2008 (diff | hist) . . (+9) . . MediaWiki:Sidebar
- 17:01, 11 September 2008 (diff | hist) . . (+53) . . MediaWiki:Sidebar
- 19:19, 5 August 2008 (diff | hist) . . (-118) . . Main Page
- 19:02, 5 August 2008
(diff | hist) . .
**(+632)** . . N MediaWiki:Sidebar (New page: * navigation ** mainpage|mainpage ** recentchanges-url|recentchanges ** Groupprops:Guided tour|Guided tours ** Category:Groupprops conventions|Conventions * lookup ** Category:Terminology|...) - 19:01, 5 August 2008 (diff | hist) . . (+273) . . Main Page
- 18:41, 5 August 2008 (diff | hist) . . (+140) . . Template:Quotation
- 13:27, 22 May 2008
(diff | hist) . .
**(+833)** . . N Complete equals geodesically complete (New page: ==Statement== Let <math>(M,g)</math> be a Riemannian manifold. Then, the following are equivalent: # <math>M</math> is [[geodesically complete Riemannian manifold|geodesically comple...) (current) - 13:17, 22 May 2008 (diff | hist) . . (-198) . . Hopf-Rinow theorem (current)
- 13:12, 22 May 2008
(diff | hist) . .
**(-690)** . . Cartan-Hadamard theorem (current) - 13:06, 22 May 2008 (diff | hist) . . (+281) . . N Local isometry of complete Riemannian manifolds is covering map (New page: ==Statement== Suppose <math>M</math> and <math>N</math> are complete Riemannian manifolds, and <math>f:M \to N</math> is a local isometry. Then, <math>f</math> is a [[covering map...) (current)
- 12:54, 22 May 2008 (diff | hist) . . (+376) . . N Ricci curvature determines Ricci curvature tensor (New page: ==Statement== ===Verbal statement=== The Ricci curvature of a Riemannian manifold (i.e., the value of Ricci curvature tensor for unit tangent vectors) determines the [[Ricci curv...) (current)
- 12:52, 22 May 2008 (diff | hist) . . (-487) . . Ricci curvature (→Facts)
- 12:49, 22 May 2008
(diff | hist) . .
**(+716)** . . N Symmetric bilinear form is determined by values on same-vector pairs (New page: ==Statement== Suppose <math>V</math> is a real vector space, <math>b:V \times V \to \R</math> is a symmetric bilinear form. Then, <math>b</math> is completely determined by the va...) (current) - 12:38, 22 May 2008 (diff | hist) . . (-490) . . Sectional curvature (→Facts) (current)
- 12:35, 22 May 2008 (diff | hist) . . (+410) . . N Sphere bundle (New page: ==Definition== ===Loose bundle=== The '''sphere bundle''' of a Riemannian manifold is defined as a (fiber) subbundle of the tangent bundle to the manifold, such that the fiber ov...) (current)
- 12:24, 22 May 2008 (diff | hist) . . (0) . . Curvature of a connection (→In local coordinates) (current)
- 12:22, 22 May 2008 (diff | hist) . . (+13) . . Template:Quotation
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- 20:08, 18 May 2008 (diff | hist) . . (0) . . m Self-dual connection (1 revision) (current)
- 20:08, 18 May 2008 (diff | hist) . . (0) . . m Second variation formula (2 revisions) (current)
- 20:08, 18 May 2008 (diff | hist) . . (0) . . m Second fundamental form (2 revisions) (current)
- 20:08, 18 May 2008 (diff | hist) . . (0) . . m Second Bianchi identity (2 revisions)
- 20:08, 18 May 2008 (diff | hist) . . (0) . . m Schur's theorem (5 revisions) (current)
- 20:08, 18 May 2008 (diff | hist) . . (0) . . m Scalar weak maximum principle (6 revisions) (current)
- 20:08, 18 May 2008 (diff | hist) . . (0) . . m Schoen-Yau theorem (1 revision) (current)
- 20:08, 18 May 2008 (diff | hist) . . (0) . . m Scalar curvature equation (2 revisions) (current)
- 20:08, 18 May 2008 (diff | hist) . . (0) . . m Scalar curvature (5 revisions)
- 20:08, 18 May 2008 (diff | hist) . . (0) . . m Sasakian manifold (1 revision) (current)
- 20:08, 18 May 2008 (diff | hist) . . (0) . . m Sard-Smale theorem (1 revision) (current)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m Sard's theorem (4 revisions) (current)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m SWMP-differential operator (2 revisions) (current)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m SSMP-differential operator (2 revisions) (current)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m SSPP-differential operator (1 revision) (current)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m Right circular cylinder (8 revisions) (current)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m Ruled surface (1 revision)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m Riemannian submanifold (1 revision) (current)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m Riemannian symmetric space (1 revision) (current)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m Riemannian metric (1 revision) (current)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m Riemannian manifold is metric space (2 revisions) (current)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m Riemannian manifold with quasi-positive Ricci curvature (1 revision) (current)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m Riemannian manifold with quasi-positive sectional curvature (1 revision) (current)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m Riemannian density (1 revision) (current)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m Riemannian isometry subgroups dominate finite subgroups in self-diffeomorphism group (1 revision) (current)
- 20:07, 18 May 2008 (diff | hist) . . (0) . . m Riemannian manifold (3 revisions) (current)
- 19:52, 18 May 2008 (diff | hist) . . (0) . . m Riemannian curvature space (1 revision) (current)
- 19:52, 18 May 2008 (diff | hist) . . (0) . . m Riemannian cone (1 revision) (current)
- 19:52, 18 May 2008 (diff | hist) . . (0) . . m Riemann curvature tensor of Levi-Civita connection (4 revisions)
- 19:52, 18 May 2008 (diff | hist) . . (0) . . m Riemann normal coordinates (1 revision) (current)
- 19:52, 18 May 2008 (diff | hist) . . (0) . . m Riemann curvature space (1 revision) (current)
- 19:52, 18 May 2008 (diff | hist) . . (0) . . m Riemann curvature tensor (1 revision) (current)
- 19:52, 18 May 2008 (diff | hist) . . (0) . . m Riemann curvature bundle (1 revision) (current)
- 19:52, 18 May 2008 (diff | hist) . . (0) . . m Ricci soliton (2 revisions) (current)
- 19:52, 18 May 2008 (diff | hist) . . (0) . . m Ricci map (1 revision) (current)
- 19:52, 18 May 2008 (diff | hist) . . (0) . . m Ricci flow-preserved property (1 revision) (current)
- 19:52, 18 May 2008 (diff | hist) . . (0) . . m Ricci flow (10 revisions) (current)
- 19:52, 18 May 2008 (diff | hist) . . (0) . . m Ricci curvature tensor of Levi-Civita connection (1 revision)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Ricci curvature tensor (5 revisions)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Ricci curvature (4 revisions)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Ricci-flat metric (6 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Regular value theorem (3 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Restricted holonomy group (2 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Regular value (2 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Regular surface (1 revision) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Regular point (1 revision) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Reduction of structure group (2 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Real projective space (1 revision) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Real-time dynamical system (2 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Real dynamical system (1 revision) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Real-analytic manifold (2 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Rank of Jacobian is lower semicontinuous (1 revision) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Quasi-positively Ricci-curved Riemannian manifold (4 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Quasi-positively curved Riemannian manifold (4 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Randers manifold (1 revision) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Randers metric (2 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Pure Hodge structure (3 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Quasi-positive Ricci curvature (3 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Quasi-positive sectional curvature (2 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Pullback of connection on a vector bundle (3 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Pseudogroup (1 revision) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Pullback connection (1 revision) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Pseudo-Riemannian manifold (3 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Pseudo-Riemannian metric (1 revision) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Principal bundle (4 revisions) (current)
- 19:51, 18 May 2008 (diff | hist) . . (0) . . m Profile curve (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Preissmann's theorem (2 revisions) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Prime manifold (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Positivity-preserving trajectory (2 revisions) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Porous media flow (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Polarization trick (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Poisson manifold (2 revisions) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Poisson-Lie group (2 revisions) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Poincare conjecture (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Poincaré-Hopf index theorem (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Poincaré-Hopf theorem (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Pinching constant (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Planar curve (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Planar point (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Piecewise smooth path (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Parallelizable manifold (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Parabolic function (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Parabolic point (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Parallel transport (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Parallelisable manifold (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Oriented manifold (1 revision) (current)
- 19:50, 18 May 2008 (diff | hist) . . (0) . . m Ovoidal hypersurface (1 revision) (current)

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