Orientation of a vector bundle
id:
orientation-of-a-vector-bundle-197-7891034
title:
Orientation of a vector bundle
text:
In mathematics, an orientation of a real vector bundle is a generalization of an orientation of a vector space; thus, given a real vector bundle π: E →B, an orientation of E means: for each fiber Ex, there is an orientation of the vector space Ex and one demands that each trivialization map (which is a bundle map) is fiberwise orientation-preserving, where Rn is given the standard orientation. In more concise terms, this says that the structure group of the frame bundle of E, which is the real g
brand slug:
wiki
category slug:
encyclopedia
description:
Generalization of an orientation of a vector space
original url:
https://en.wikipedia.org/wiki/Orientation_of_a_vector_bundle
date created:
date modified:
2022-02-22T00:49:38Z
main entity:
{"identifier":"Q19598250","url":"https://www.wikidata.org/entity/Q19598250"}
image:
fields total:
13
integrity:
14