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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 Novikov's compact leaf theorem ： ウィキペディア英語版 Novikov's compact leaf theorem In mathematics, Novikov's compact leaf theorem, named after Sergei Novikov, states that : ''A codimension-one foliation of a compact 3-manifold whose universal covering space is not contractible must have a compact leaf.'' == Novikov's compact leaf theorem for ''S''3 == Theorem: ''A smooth codimension-one foliation of the 3-sphere'' ''S''3 ''has a compact leaf. The leaf is a torus'' ''T''2 ''bounding a solid torus with the Reeb foliation.'' The theorem was proved by Sergey Novikov in 1964. Earlier Charles Ehresmann had conjectured that every smooth codimension-one foliation on ''S''3 had a compact leaf, which was true for all known examples; in particular, Reeb foliation had a compact leaf that was ''T''2. 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「Novikov's compact leaf theorem」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.