翻訳と辞書 Words near each other ・ 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 ・ Riemann–Roch theorem ・ Riemann–Roch theorem for smooth manifolds 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 Riemannian circle ： ウィキペディア英語版 Riemannian circle In metric space theory and Riemannian geometry, the Riemannian circle (named after Bernhard Riemann) is a great circle equipped with its great-circle distance. In more detail, the term refers to the circle equipped with its ''intrinsic'' Riemannian metric of a compact 1-dimensional manifold of total length 2, as opposed to the ''extrinsic'' metric obtained by restriction of the Euclidean metric to the unit circle in the plane. Thus, the distance between a pair of points is defined to be the length of the shorter of the two arcs into which the circle is partitioned by the two points. == Properties == The diameter of the Riemannian circle is π, in contrast with the usual value of 2 for the Euclidean diameter of the unit circle. The inclusion of the Riemannian circle as the equator (or any great circle) of the 2-sphere of constant Gaussian curvature +1, is an isometric imbedding in the sense of metric spaces (there is no isometric imbedding of the Riemannian circle in Hilbert space in this sense). 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「Riemannian circle」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.