# All pages

- Normal subgroup
- Normal surface
- Null subset of a differential manifold
- Nullity of a bilinear form
- Nullity of a quadratic form
- Nullset-preserving map
- Obstruction class
- One-dimensional heat equation
- One-parameter group of diffeomorphisms
- One-parameter group of self-maps
- Open Riemannian manifold
- Orbifold
- Orientable manifold
- Orientable vector bundle
- Oriented cobordism of oriented submanifolds
- Oriented manifold
- Ovoidal hypersurface
- Parabolic function
- Parabolic point
- Parallel transport
- Parallelisable manifold
- Parallelizable manifold
- Piecewise smooth path
- Pinching constant
- Planar curve
- Planar point
- Poincare conjecture
- PoincarĂ©-Hopf index theorem
- PoincarĂ©-Hopf theorem
- Poisson-Lie group
- Poisson manifold
- Polarization trick
- Porous media flow
- Positivity-preserving trajectory
- Preissmann's theorem
- Prime manifold
- Principal bundle
- Profile curve
- Pseudo-Riemannian manifold
- Pseudo-Riemannian metric
- Pseudogroup
- Pullback connection
- Pullback of connection on a vector bundle
- Pure Hodge structure
- Quasi-positive Ricci curvature
- Quasi-positive sectional curvature
- Quasi-positively Ricci-curved Riemannian manifold
- Quasi-positively curved Riemannian manifold
- Randers manifold
- Randers metric
- Rank of Jacobian is lower semicontinuous
- Real-analytic manifold
- Real-time dynamical system
- Real dynamical system
- Real projective space
- Reduction of structure group
- Regular point
- Regular surface
- Regular value
- Regular value theorem
- Restricted holonomy group
- Restricted holonomy group of Riemannian metric
- Ricci-flat metric
- Ricci curvature
- Ricci curvature determines Ricci curvature tensor
- Ricci curvature tensor
- Ricci curvature tensor of Levi-Civita connection
- Ricci flow
- Ricci flow-preserved property
- Ricci map
- Ricci soliton
- Riemann curvature bundle
- Riemann curvature space
- Riemann curvature tensor
- Riemann curvature tensor of Levi-Civita connection
- Riemann normal coordinates
- Riemannian cone
- Riemannian curvature space
- Riemannian density
- Riemannian isometry subgroups dominate finite subgroups in self-diffeomorphism group
- Riemannian manifold
- Riemannian manifold is metric space
- Riemannian manifold with quasi-positive Ricci curvature
- Riemannian manifold with quasi-positive sectional curvature
- Riemannian metric
- Riemannian submanifold
- Riemannian symmetric space
- Right circular cylinder
- Ring torus
- Ruled surface
- SSMP-differential operator
- SSPP-differential operator
- SWMP-differential operator
- Sandbox
- Sard's theorem
- Sard-Smale theorem
- Sasakian manifold
- Scalar curvature
- Scalar curvature equation
- Scalar weak maximum principle
- Schoen-Yau theorem
- Schur's theorem
- Second Bianchi identity
- Second fundamental form
- Second variation formula
- Sectional curvature
- Sectional curvature equals Gaussian curvature for regular surface
- Segre curve
- Self-diffeomorphism group
- Self-dual connection
- Self-isometry group
- Semi-Riemannian manifold
- Semilinear differential operator
- Separable trajectory
- Serret-Frenet equations
- Serret-Frenet frame
- Shape operator
- Shape operator on a hypersurface
- Sheaf of connection algebras
- Sheaf of continuous functions
- Sheaf of derivations
- Sheaf of derivations of a manifold
- Sheaf of differentiable functions
- Sheaf of differential operators
- Sheaf of infinitely differentiable functions
- Sheaf of multiply differentiable functions
- Sheaf of real-analytic functions
- Sheaf of sections of a vector bundle
- Sheaf of sections of dual to covariant bundle is contravariant
- Simple closed curve in the plane
- Simple point
- Siu's rigidity theorem
- Slit tangent bundle
- Smoooth vector field
- Smooth approximation theorem
- Smooth approximation theorem for differential manifolds
- Smooth cobordism
- Smooth homotopy theorem
- Smooth manifold
- Sobolev embedding theorem
- Sobolev function
- Soft sheaf
- Solvemanifold
- Solvmanifold
- Soul theorem
- Space of Riemannian metrics
- Space of metrics on a bundle
- Sphere
- Sphere bundle
- Sphere in Euclidean space
- Spin manifold
- Spin structure
- Spinnable Riemannian manifold
- Splitting theorem
- Stably parallelizable iff framable in large codimension
- Stably parallelizable manifold
- Stably trivial vector bundle
- Stiefel-Whitney class
- Stolz's theorem
- Stone-Weierstrass theorem
- Strongly convex set
- Submanifold
- Submanifold (differential sense)
- Supersolution
- Surface of revolution
- Symmetric bilinear form is determined by values on same-vector pairs
- Symmetric linear connection
- Symplectic form
- Symplectic manifold
- Symplectic submanifold
- Synclastic
- Synge's theorem
- Tangent-developable surface
- Tangent bundle
- Tangent bundle functor
- Tangent space at a point
- Tennis ball theorem
- Tensor product of connections
- Tensor product of flat connections is flat
- Tensor product of metric connections is metric
- Tensorial map
- Tensoriality of Riemann curvature tensor
- Theorema Egregium
- Thurston elliptization conjecture
- Timewise-average function
- Timewise-max function
- Timewise-min function
- Topological manifold
- Topological manifold with boundary
- Topological space
- Torsion-free connection
- Torsion-free linear connection
- Torsion is antisymmetric
- Torsion is tensorial
- Torsion of a linear connection
- Torus
- Torus in 3-space
- Total absolute scalar curvature
- Total scalar curvature
- Totally geodesic submanifold
- Translation surface
- Transport along a curve
- Transversal map to a submanifold
- Transversally intersecting submanifolds
- Tranversal map
- Triangulations of the sphere
- Tube of a curve
- Tubular neighborhood theorem
- Tubular neighbourhood theorem
- Twisted cylinder
- Umbilic point
- Uniformization theorem
- Variation
- Variation of a path
- Variation vector field
- Vector bundle
- Vector field
- Vector space-valued differential 1-form
- Vector space of sections of dual to covariant bundle is contravariant
- Vertical space
- Volume-normalized Ricci flow
- Weak Riemannian Hilbert manifold
- Weyl curvature tensor
- Whitney embedding theorem
- Wirtinger's inequality
- Yamabe conjecture
- Yamabe flow
- Zero-scalar curvature metric
- Zhu's theorem