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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 Nadirashvili surface ： ウィキペディア英語版 Nadirashvili surface In differential geometry, a Nadirashvili surface is an immersed complete bounded minimal surface in R3 with negative curvature. The first example of such a surface was constructed by . This simultaneously answered a question of Hadamard about whether there was an immersed complete bounded surface in R3 with negative curvature, and a question of Eugenio Calabi and Shing-Tung Yau about whether there was an immersed complete bounded minimal surface in R3. showed that a complete immersed surface in R3 cannot have constant negative curvature, and show that the curvature cannot be bounded above by a negative constant. So Nadirashvili's surface necessarily has points where the curvature is arbitrarily close to 0. ==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「Nadirashvili 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.