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非简并的莫尔斯理论

IF 0.6 4区 数学 Q3 MATHEMATICS
Quarterly Journal of Mathematics Pub Date : 2020-12-01 DOI:10.1093/qmath/haaa064
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。
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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
Quarterly Journal of Mathematics
Quarterly Journal of Mathematics 数学-数学
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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