翻訳と辞書 Words near each other ・ Slice (Five for Fighting album) ・ Slice (G.I. Joe) ・ Slice (soft drink) ・ Slice (song) ・ Slice (TV channel) ・ Slice genus ・ Slice knot ・ Slice of Brooklyn ・ Slice of Doom 1999–2002 ・ Slice of Heaven ・ Slice of life ・ Slice of SciFi ・ Slice preparation ・ Slice sampling ・ Slice theorem ・ Slice theorem (differential geometry) ・ Slice to Sharp ・ Slice, Inc. ・ Sliced ・ Sliced bread ・ Sliced fish soup ・ Sliced inverse regression ・ Sliced Porosity Block - CapitaLand Raffles City Chengdu ・ Slicer (disambiguation) ・ Slices ・ Slices of Life ・ Slichtenhorst ・ Slichter Foreland ・ Slicing ・ Slicing (interface design) 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 Slice theorem (differential geometry) ： ウィキペディア英語版 Slice theorem (differential geometry) In differential geometry, the slice theorem states: given a manifold ''M'' on which a Lie group ''G'' acts as diffeomorphisms, for any ''x'' in ''M'', the map $G/G\_x\; \backslash to\; M,\; \backslash ,\; ()\; \backslash mapsto\; g\; \backslash cdot\; x$ extends to an invariant neighborhood of $G/G\_x$ (viewed as a zero section) in $G\; \backslash times\_\; T\_x\; M\; /\; T\_x(G\; \backslash cdot\; x)$ so that it defines an equivariant diffeomorphism from the neighborhood to its image, which contains the orbit of ''x''. The important application of the theorem is a proof of the fact that the quotient $M/G$ admits a manifold structure when ''G'' is compact and the action is free. In algebraic geometry, there is an analog of the slice theorem; it is called Luna's slice theorem. == Idea of proof when ''G'' is compact == Since ''G'' is compact, there exists an invariant metric; i.e., ''G'' acts as isometries. One then adopts the usual proof of the existence of a tubular neighborhood using this metric. 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「Slice theorem (differential geometry)」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.