Conformally flat metric: Difference between revisions
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==Relation with other properties== | ==Relation with other properties== | ||
===Stronger properties== | ===Stronger properties=== | ||
* [[Flat metric]] | * [[Flat metric]] | ||
Latest revision as of 19:34, 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 metric on a differential manifold is said to be conformally flat or locally conformally flat if every point has a neighbourhood such that the restriction to that neighbourhood, is conformally equivalent to the flat metric.