Metric connection
id:
metric-connection-295-5969439
title:
Metric connection
text:
In mathematics, a metric connection is a connection in a vector bundle E equipped with a bundle metric; that is, a metric for which the inner product of any two vectors will remain the same when those vectors are parallel transported along any curve. This is equivalent to: A connection for which the covariant derivatives of the metric on E vanish.
A principal connection on the bundle of orthonormal frames of E. A special case of a metric connection is a Riemannian connection; there exists a uniq
brand slug:
wiki
category slug:
encyclopedia
description:
Construct in differenital geometry
original url:
https://en.wikipedia.org/wiki/Metric_connection
date created:
date modified:
2024-01-07T23:21:14Z
main entity:
{"identifier":"Q788494","url":"https://www.wikidata.org/entity/Q788494"}
image:
fields total:
13
integrity:
14