翻訳と辞書 Words near each other ・ Myiodola scalabrii ・ Myiodola spinicrus ・ Myiodynastes ・ Myiomela ・ Myiopagis ・ Myersiohyla ・ Myersiohyla aromatica ・ Myersiohyla inparquesi ・ Myerson ・ Myerson & Kuhn ・ Myerson's sign ・ Myerson–Satterthwaite theorem ・ Myerstown, Pennsylvania ・ Myersville, Maryland ・ Myers–Briggs Type Indicator ・ Myers–Steenrod theorem ・ MyEx.com ・ MyExperiment ・ MYF ・ Myf (disambiguation) ・ Myf Shepherd ・ Myf Warhurst ・ MYF5 ・ MYF6 ・ MyFaces Trinidad ・ Myfanwy ・ Myfanwy (disambiguation) ・ Myfanwy Ashmore ・ Myfanwy Bekker ・ Myfanwy Fychan 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 Myers–Steenrod theorem ： ウィキペディア英語版 Myers–Steenrod theorem Two theorems in the mathematical field of Riemannian geometry bear the name Myers–Steenrod theorem, both from a 1939 paper by Myers and Steenrod. The first states that every distance-preserving map (i.e., an isometry of metric spaces) between two connected Riemannian manifolds is actually a smooth isometry of Riemannian manifolds. A simpler proof was subsequently given by Richard Palais in 1957. The main difficulty lies in showing that a distance-preserving map, which is a priori only continuous, is actually differentiable. The second theorem, which is much more difficult to prove, states that the isometry group of a Riemannian manifold is a Lie group. For instance, the group of isometries of the two-dimensional unit sphere is the orthogonal group ''O''(3). ==References== * * 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「Myers–Steenrod theorem」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.