Parallelizable manifold
id:
parallelizable-manifold-248-3852713
title:
Parallelizable manifold
text:
In mathematics, a differentiable manifold M of dimension n is called parallelizable if there exist smooth vector fields on the manifold, such that at every point p of M the tangent vectors provide a basis of the tangent space at p . Equivalently, the tangent bundle is a trivial bundle, so that the associated principal bundle of linear frames has a global section on M . A particular choice of such a basis of vector fields on M is called a parallelization of M .
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Parallelizable_manifold
date created:
date modified:
2022-06-28T16:42:39Z
main entity:
{"identifier":"Q1014612","url":"https://www.wikidata.org/entity/Q1014612"}
image:
fields total:
13
integrity:
13