Hyperbolic manifold: Difference between revisions

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* [[Negatively curved manifold]]
* [[Negatively curved manifold]]
* [[Constant-curvature metric]]
* [[Einstein metric]]
* [[Constant-scalar curvature metric]]

Revision as of 09:08, 25 April 2007

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.

Relation with other properties

Weaker properties