Difference between revisions of "Conformally flat metric"

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(=Stronger properties)
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==Relation with other properties==
 
==Relation with other properties==
  
===Stronger properties==
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===Stronger properties===
  
 
* [[Flat metric]]
 
* [[Flat metric]]

Revision as of 09:38, 2 September 2007

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.

Relation with other properties

Stronger properties

Weaker properties