Difference between revisions of "Riemannian manifold"
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Latest revision as of 20:07, 18 May 2008
This article defines a differential manifold with the following additional structure  the structure group is reduced to: orthogonal group
Contents
Definition
A Riemannian manifold is the following data:
 A differential manifold
 A Riemannian metric on , viz a smooth association of a positive definite symmetric bilinear form for the tangent space .
Relation with other structures
Stronger structures
Weaker structures
 PseudoRiemannian manifold
 Metric space Further information: Riemannian manifold is metric space