翻訳と辞書 Words near each other ・ Conley–Zehnder theorem ・ Conlie ・ Conlig ・ Conlig railway station ・ Conlin ・ Conlin McCabe ・ Conlin's Furniture ・ Conjugate diameters ・ Conjugate element (field theory) ・ Conjugate eye movement ・ Conjugate focal plane ・ Conjugate Fourier series ・ Conjugate gaze palsy ・ Conjugate gradient method ・ Conjugate index ・ Conjugate points ・ Conjugate prior ・ Conjugate residual method ・ Conjugate transpose ・ Conjugate vaccine ・ Conjugate variables ・ Conjugate variables (thermodynamics) ・ Conjugate-permutable subgroup ・ Conjugated estrogen ・ Conjugated fatty acid ・ Conjugated linoleic acid ・ Conjugated microporous polymer ・ Conjugated protein ・ Conjugated system ・ Conjugation 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 Conjugate points ： ウィキペディア英語版 Conjugate points In differential geometry, conjugate points are, roughly, points that can almost be joined by a 1-parameter family of geodesics. For example, on a sphere, the north-pole and south-pole are connected by any meridian. ==Definition== Suppose ''p'' and ''q'' are points on a Riemannian manifold, and $\backslash gamma$ is a geodesic that connects ''p'' and ''q''. Then ''p'' and ''q'' are conjugate points along $\backslash gamma$ if there exists a non-zero Jacobi field along $\backslash gamma$ that vanishes at ''p'' and ''q''. Recall that any Jacobi field can be written as the derivative of a geodesic variation (see the article on Jacobi fields). Therefore, if ''p'' and ''q'' are conjugate along $\backslash gamma$, one can construct a family of geodesics that start at ''p'' and ''almost'' end at ''q''. In particular, if $\backslash gamma\_s(t)$ is the family of geodesics whose derivative in ''s'' at $s=0$ generates the Jacobi field ''J'', then the end point of the variation, namely $\backslash gamma\_s(1)$, is the point ''q'' only up to first order in ''s''. Therefore, if two points are conjugate, it is not necessary that there exist two distinct geodesics joining them. 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「Conjugate points」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.