翻訳と辞書 Words near each other ・ Connecticut-class battleship ・ Connecticut–Notre Dame women's basketball rivalry ・ Connectify ・ Connectify Hotspot ・ Connecting Futures ・ Connecting Link ・ Connecting Railway ・ COnnecting REpositories ・ Connecting rod ・ Connecting Rooms ・ Connecting Slough ・ Connecting Spirits ・ Connecting stalk ・ Connecting tubule ・ Connection ・ Connection (affine bundle) ・ Connection (album) ・ Connection (algebraic framework) ・ Connection (composite bundle) ・ Connection (dance) ・ Connection (Don Ellis album) ・ Connection (Elastica song) ・ Connection (EP) ・ Connection (fibred manifold) ・ Connection (mathematics) ・ Connection (principal bundle) ・ Connection (The Rolling Stones song) ・ Connection (vector bundle) ・ Connection broker ・ Connection Collection, Vol. 1 Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Connection (affine bundle) ： ウィキペディア英語版 Connection (affine bundle) Let $Y\backslash to\; X,$ be an affine bundle modelled over a vector bundle $\backslash overline\; Y\backslash to\; X$. A connection $\backslash Gamma$ on $Y\backslash to\; X$ is called the affine connection if it as a section $\backslash Gamma:Y\backslash to\; J^1Y$ of the jet bundle $J^1Y\backslash to\; Y$ of $Y$ is an affine bundle morphism over $X$. In particular, this is the case of an affine connection on the tangent bundle $TX$ of a smooth manifold $X$. With respect to affine bundle coordinates $(x^\backslash lambda,y^i)$ on $Y$, an affine connection $\backslash Gamma$ on $Y\backslash to\; X$ is given by the tangent-valued connection form : $\backslash Gamma\; =dx^\backslash lambda\backslash otimes\; (\backslash partial\_\backslash lambda\; +\; \backslash Gamma\_\backslash lambda^i\backslash partial\_i),\; \backslash qquad$ \Gamma_\lambda^i=\Gamma_\lambda^i^i = \partial_\lambda\sigma_\mu^i - \partial_\mu\sigma_\lambda^i + \sigma_\lambda^h \Gamma_\mu^i_\nu \dot x^\nu +\delta^\mu_\lambda, on $TX$ is the Cartan connection. The torsion of the Cartan connection $A$ with respect to the soldering form $\backslash theta$ coincides with the torsion of a linear connection $\backslash Gamma$, and its curvature is a sum $R+T$ of the curvature and the torsion of $\backslash Gamma$. ==See also== *Connection (fibred manifold) *Affine connection *Connection (vector bundle) *Connection (mathematics) *Affine gauge theory 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「Connection (affine bundle)」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.