Weyl–Schouten theorem
id:
weyl-schouten-theorem-283-8128681
title:
Weyl–Schouten theorem
text:
In the mathematical field of differential geometry, the existence of isothermal coordinates for a (pseudo-)Riemannian metric is often of interest. In the case of a metric on a two-dimensional space, the existence of isothermal coordinates is unconditional. For higher-dimensional spaces, the Weyl–Schouten theorem characterizes the existence of isothermal coordinates by certain equations to be satisfied by the Riemann curvature tensor of the metric. Existence of isothermal coordinates is also call
brand slug:
wiki
category slug:
encyclopedia
description:
On when a Riemannian manifold of dimension ≥ 3 is conformally flat
original url:
https://en.wikipedia.org/wiki/Weyl%E2%80%93Schouten_theorem
date created:
date modified:
2023-04-16T15:43:30Z
main entity:
{"identifier":"Q7990339","url":"https://www.wikidata.org/entity/Q7990339"}
image:
fields total:
13
integrity:
14