Conformally flat manifold
id:
conformally-flat-manifold-288-2804760
title:
Conformally flat manifold
text:
A (pseudo-)Riemannian manifold is conformally flat if each point has a neighborhood that can be mapped to flat space by a conformal transformation. In practice, the metric g of the manifold M has to be conformal to the flat metric η , i.e., the geodesics maintain in all points of M the angles by moving from one to the other, as well as keeping the null geodesics unchanged, that means there exists a function λ such that g = λ 2 η , where λ is known as the conformal factor and x is a point on the
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Conformally_flat_manifold
date created:
date modified:
2024-02-19T08:37:16Z
main entity:
{"identifier":"Q5160259","url":"https://www.wikidata.org/entity/Q5160259"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/b/bb/Conformal_map.svg","width":535,"height":937}
fields total:
13
integrity:
14