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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Complex geodesic ： ウィキペディア英語版 Complex geodesic In mathematics, a complex geodesic is a generalization of the notion of geodesic to complex spaces. ==Definition== Let (''X'', || ||) be a complex Banach space and let ''B'' be the open unit ball in ''X''. Let Δ denote the open unit disc in the complex plane C, thought of as the Poincaré disc model for 2-dimensional real/1-dimensional complex hyperbolic geometry. Let the Poincaré metric ''ρ'' on Δ be given by :$\backslash rho\; (a,\; b)\; =\; \backslash tanh^\; \backslash frac$ and denote the corresponding Carathéodory metric on ''B'' by ''d''. Then a holomorphic function ''f'' : Δ → ''B'' is said to be a complex geodesic if :$d(f(w),\; f(z))\; =\; \backslash rho\; (w,\; z)\; \backslash ,$ for all points ''w'' and ''z'' in Δ. 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「Complex geodesic」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.