Hyperbolic manifold: Difference between revisions
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* [[Negatively curved manifold]] | * [[Negatively curved manifold]] | ||
* [[Constant-curvature metric]] | |||
* [[Einstein metric]] | |||
* [[Constant-scalar curvature metric]] | |||
Latest revision as of 19:47, 18 May 2008
This article defines a property that makes sense for a Riemannian metric over a differential manifold
Definition
Symbol-free definition
A Riemannian manifold is said to be hyperbolic if it is complete and has constant sectional curvature equal to -1.