非简并的莫尔斯理论

IF 0.6 4区 数学 Q3 MATHEMATICS
Frances Kirwan;Geoffrey Penington
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引用次数: 5

摘要

我们将莫尔斯理论推广到紧黎曼流形上的光滑函数,除了临界轨迹必须只有有限多个连通分量外,没有任何非简并性假设。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Morse Theory without Non-Degeneracy
We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any non-degeneracy assumptions except that the critical locus must have only finitely many connected components.
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
36
审稿时长
6-12 weeks
期刊介绍: The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.
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