Riemann curvature tensor
id:
riemann-curvature-tensor-175-12757138
title:
Riemann curvature tensor
text:
In the mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor is the most common way used to express the curvature of Riemannian manifolds. It assigns a tensor to each point of a Riemannian manifold. It is a local invariant of Riemannian metrics which measures the failure of the second covariant derivatives to commute. A Riemannian manifold has zero curvature if and only if it is flat, i.e. locally isometric to the Euclidean space. The curvature t
brand slug:
wiki
category slug:
encyclopedia
description:
Tensor field in Riemannian geometry
original url:
https://en.wikipedia.org/wiki/Riemann_curvature_tensor
date created:
2002-10-24T07:44:57Z
date modified:
2024-09-03T19:07:10Z
main entity:
{"identifier":"Q855112","url":"https://www.wikidata.org/entity/Q855112"}
image:
fields total:
13
integrity:
15