翻訳と辞書 Words near each other ・ Polar set ・ Polar set (potential theory) ・ Polar Shift (album) ・ Polar Shift (novel) ・ Polar ・ Polar (album) ・ Polar (cataclysmic variable star) ・ Polar (community), Wisconsin ・ Polar (musician) ・ Polar (Research Refrigerator for ISS) ・ Polar (satellite) ・ Polar (TV channel) ・ Polar 3 ・ Polar 8 Project ・ Polar AC ・ Polar action ・ Polar Adventure ・ Polar Air Cargo ・ Polar Airlines ・ Polar alignment ・ Polar amplification ・ Polar angle ・ Polar auxin transport ・ Polar aviation ・ Polar bear ・ Polar Bear (album) ・ Polar Bear (American band) ・ Polar Bear (battery-electric locomotive) ・ Polar Bear (British band) ・ Polar Bear (cipher) 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 Polar action ： ウィキペディア英語版 Polar action In mathematics, a polar action is a proper and isometric action of a Lie group ''G'' on a complete Riemannian manifold ''M'' for which there exists a complete submanifold Σ that meets all the orbits and meets them always orthogonally; such a submanifold is called a section. A section is necessarily totally geodesic. If the sections of a polar action are flat with respect to the induced metric, then the action is called hyperpolar. In the case of linear orthogonal actions on Euclidean spaces, polar actions are called polar representations. The isotropy representations of Riemannian symmetric spaces are basic examples of polar representations. Conversely, Dadok has classified polar representations of compact Lie groups on Euclidean spaces, and it follows from his classification that such a representation has the same orbits as the isotropy representation of a symmetric space. ==References== *Berndt, J; Olmos, C; Console, S. (2003). "Submanifolds and holonomy", Chapman & Hall/CRC, Research Notes in Mathematics, 434, ISBN 1-58488-371-5 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「Polar action」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.