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 $v_k:\bigoplus^kT^*M\to\bigwedge^kT^*M$ , given by $v_k:(\rho_1,\ldots,\rho_k)\mapsto \rho_1\wedge\ldots\wedge\rho_k$ . If $M$ is $n$ dimensional a coframe is given by a section $\sigma$ of $\bigoplus^nT^*M$ such that $v_n\circ\sigma\neq 0$ . The inverse image under $v_n$ of the complement of the zero section of $\bigwedge^nT^*M$ forms a $GL(n)$ principal bundle over $M$ , which is called the coframe bundle.

单词	coframe
释义	coframe 英汉-汉英词典余标架词组 \| 习惯用语您要查找的是不是： frame n. 框架；结构；画面 vt. 设计；陷害；建造；使…适合 cofferdam n. 围堰；潜水箱；隔离舱 crammer n. 为应考而死记硬背的人 Cramer n. 克莱默（人名）网络短语: coframe 余标架 orthonormal coframe field 幺正余标架场英语百科 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 $v_k:\bigoplus^kT^M\to\bigwedge^kT^M$ , given by $v_k:(\rho_1,\ldots,\rho_k)\mapsto \rho_1\wedge\ldots\wedge\rho_k$ . If $M$ is $n$ dimensional a coframe is given by a section $\sigma$ of $\bigoplus^nT^M$ such that $v_n\circ\sigma\neq 0$ . The inverse image under $v_n$ of the complement of the zero section of $\bigwedge^nT^M$ forms a $GL(n)$ principal bundle over $M$ , which is called the coframe bundle.
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coframe

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网络短语:

Coframe