Difference between revisions of "Conformally flat metric"

From Diffgeom
Jump to: navigation, search
m (3 revisions)
(One intermediate revision by the same user not shown)
Line 9: Line 9:
==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


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.

Relation with other properties

Stronger properties

Weaker properties