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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 Hopf manifold ： ウィキペディア英語版 Hopf manifold In complex geometry, a Hopf manifold is obtained as a quotient of the complex vector space (with zero deleted) $(^n\backslash backslash\; 0)$ by a free action of the group $\backslash Gamma\; \backslash cong$ of integers, with the generator $\backslash gamma$ of $\backslash Gamma$ acting by holomorphic contractions. Here, a ''holomorphic contraction'' is a map $\backslash gamma:\backslash ;\; ^n\; \backslash mapsto\; ^n$ such that a sufficiently big iteration $\backslash ;\backslash gamma^N$ puts any given compact subset $^n$ onto an arbitrarily small neighbourhood of 0. Two dimensional Hopf manifolds are called Hopf surfaces. == Examples == In a typical situation, $\backslash Gamma$ is generated by a linear contraction, usually a diagonal matrix $q\backslash cdot\; Id$, with $q\backslash in$ a complex number, . Such manifold is called ''a classical Hopf manifold''. 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「Hopf manifold」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.