翻訳と辞書 Words near each other ・ Isotenes pudens ・ Isotenes punctosa ・ Isotenes rhodosphena ・ Isotenes sematophora ・ Isotenes syndesma ・ Isotenes tetrops ・ Isotenes thaumasia ・ Isoteniscope ・ Isoteolin ・ Isothalamus ・ Isothamnis ・ Isothea ・ Isothecium myosuroides ・ Isotherm ・ Isothermal Community College ・ Isothermal coordinates ・ Isothermal flow ・ Isothermal microcalorimetry ・ Isothermal process ・ Isothermal Technology ・ Isothermal titration calorimetry ・ Isothermal transformation diagram ・ Isothermal–isobaric ensemble ・ Isothetic ・ Isothetic polygon ・ Isothiazole ・ Isothiazolinone ・ Isothiocyanate ・ Isothiouronium ・ Isothipendyl 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 Isothermal coordinates ： ウィキペディア英語版 Isothermal coordinates In mathematics, specifically in differential geometry, isothermal coordinates on a Riemannian manifold are local coordinates where the metric is conformal to the Euclidean metric. This means that in isothermal coordinates, the Riemannian metric locally has the form :$g\; =\; e^\backslash varphi\; (dx\_1^2\; +\; \backslash cdots\; +\; dx\_n^2),$ where $\backslash varphi$ is a smooth function. Isothermal coordinates on surfaces were first introduced by Gauss. Korn and Lichtenstein proved that isothermal coordinates exist around any point on a two dimensional Riemannian manifold. On higher-dimensional Riemannian manifolds a necessary and sufficient condition for their local existence is the vanishing of the Weyl tensor and of the Cotton tensor. ==Isothermal coordinates on surfaces== proved the existence of isothermal coordinates on an arbitrary surface with a real analytic metric, following results of on surfaces of revolution. Results for Hölder continuous metrics were obtained by and . Later accounts were given by , , and . A particularly simple account using the Hodge star operator is given in . 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「Isothermal coordinates」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.