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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク coframe ： ウィキペディア英語版 coframe 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 $v\_k:\backslash bigoplus^kT^$ *M\to\bigwedge^kT^ *M, given by $v\_k:(\backslash rho\_1,\backslash ldots,\backslash rho\_k)\backslash mapsto\; \backslash rho\_1\backslash wedge\backslash ldots\backslash wedge\backslash rho\_k$. If $M$ is $n$ dimensional a coframe is given by a section $\backslash sigma$ of $\backslash bigoplus^nT^$ *M such that $v\_n\backslash circ\backslash sigma\backslash neq\; 0$. The inverse image under $v\_n$ of the complement of the zero section of $\backslash bigwedge^nT^$ *M forms a $GL(n)$ principal bundle over $M$, which is called the coframe bundle. == See also == * Frame fields in general relativity * Moving frame 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「coframe」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.