A remark on fixed point sets of gradient-like flows

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Let $S$ be a set of critical points of a smooth real-valued function on a closed manifold $M$. Generalizing a well-known result of Lusternik--Schnirelmann, Reeken~[R] proved that $\cat S \geq \cat M$. Here we prove a generalization of Reeken"s inequality for gradient-like flows on compact spaces.
5 pages, amstex

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/78914

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9908017
 http://arxiv.org/abs/math/9908017

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arXiv