翻訳と辞書 Words near each other ・ Riesling ・ Riesling Trail ・ Riesman ・ Riesman's sign ・ Riesner ・ Riespach ・ Riess ・ Riess spiral ・ Riessersee ・ Rieste ・ Rieste railway station ・ Riester ・ Riesweiler ・ Riesz ・ Riesz function ・ Riemann's minimal surface ・ Riemannian ・ Riemannian circle ・ Riemannian connection on a surface ・ Riemannian geometry ・ Riemannian manifold ・ Riemannian Penrose inequality ・ Riemannian submanifold ・ Riemannian submersion ・ Riemannian theory ・ Riemann–Hilbert correspondence ・ Riemann–Hilbert problem ・ Riemann–Hurwitz formula ・ Riemann–Lebesgue lemma ・ Riemann–Liouville integral 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 Riemann's minimal surface ： ウィキペディア英語版 Riemann's minimal surface In differential geometry, Riemann's minimal surface is a one-parameter family of minimal surfaces described by Bernhard Riemann in a posthumous paper published in 1867.〔B. Riemann, Oeuvres mathématiques de Riemann, Gauthiers-Villards, Paris 1898.〕 Surfaces in the family are singly periodic minimal surfaces with an infinite number of ends asymptotic to parallel planes, each plane "shelf" connected with catenoid-like bridges to the neighbouring ones. Their intersections with horizontal planes are circles or lines; Riemann proved that they were the only minimal surfaces fibered by circles in parallel planes besides the catenoid, helicoid and plane. They are also the only nontrivial embedded minimal surfaces in Euclidean 3-space invariant under the group generated by a nontrivial translation. It is possible to attach extra handles to the surfaces, producing higher-genus minimal surface families. ==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「Riemann's minimal surface」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.