Ricci soliton
id:
ricci-soliton-225-305972
title:
Ricci soliton
text:
In differential geometry, a complete Riemannian manifold is called a Ricci soliton if, and only if, there exists a smooth vector field V such that
- Ric = λ g − 1 2 L V g, for some constant λ ∈ R. Here Ric is the Ricci curvature tensor and L represents the Lie derivative. If there exists a function f : M → R such that V = ∇ f we call a gradient Ricci soliton and the soliton equation becomes
- Ric + ∇ 2 f = λ g. Note that when V = 0 or f = 0 the above equations reduce to the Einstein equ
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Ricci_soliton
date created:
2014-09-12T03:18:40Z
date modified:
2024-09-14T16:26:45Z
main entity:
{"identifier":"Q24068878","url":"https://www.wikidata.org/entity/Q24068878"}
image:
fields total:
13
integrity:
14