Coframe
id:
coframe-198-8265502
title:
Coframe
text:
In mathematics, a coframe or coframe field on a smooth manifold M is a system of one-forms or covectors which form a basis of the cotangent bundle at every point. In the exterior algebra of M , one has a natural map from v k : ⨁ k T ∗ M → ⋀ k T ∗ M , given by v k : ↦ ρ 1 ∧ … ∧ ρ k . If M is n dimensional, a coframe is given by a section σ of ⨁ n T ∗ M such that v n ∘ σ ≠ 0 . The inverse image under v n of the complement of the zero section of ⋀ n T ∗ M forms a G L principal bundle over M , which
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Coframe
date created:
date modified:
2024-03-16T13:15:48Z
main entity:
{"identifier":"Q5141056","url":"https://www.wikidata.org/entity/Q5141056"}
image:
fields total:
13
integrity:
13