# Difference between revisions of "Open Riemannian manifold"

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==Definition== | ==Definition== | ||

− | A [[Riemannian manifold]] is said to be '''open'''' if it | + | A [[Riemannian manifold]] is said to be '''open'''' if it is not compact. |

## Revision as of 01:59, 7 July 2007

*This article defines a property that makes sense for a Riemannian metric over a differential manifold*

## Definition

A Riemannian manifold is said to be **open'** if it is not compact.