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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 Chen–Gackstatter surface ： ウィキペディア英語版 Chen–Gackstatter surface In differential geometry, the Chen–Gackstatter surface family (or the Chen–Gackstatter–Thayer surface family) is a family of minimal surfaces that generalize the Enneper surface by adding handles, giving it nonzero topological genus. They are not embedded, and have Enneper-like ends. The members $M\_$ of the family are indexed by the number of extra handles ''i'' and the winding number of the Enneper end; the total genus is ''ij'' and the total Gaussian curvature is $-4\backslash pi(i+1)j$. It has been shown that $M\_$ is the only genus one orientable complete minimal surface of total curvature $-8\backslash pi$.〔.〕 It has been conjectured that continuing to add handles to the surfaces will in the limit converge to the Scherk's second surface (for ''j'' = 1) or the saddle tower family for ''j'' > 1.〔 ==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「Chen–Gackstatter 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.