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arXiv · 1207.2778

Tangential category and critical point theory

Carlos Meniño Cotón
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Abstract

Classical Ljusternik-Schnirelmann category is upper bounded by the number of critical points of any bounded from below differentiable functions of Palais-Smale type. Here we achieve an adaptation of this result for the tangential category of foliations. We introduce a weaker type of Palais-Smale function, obtaining a slight improvement in the classical theorem of critical points.

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Carlos Meniño Cotón. 2012-07-11. Tangential category and critical point theory. https://arxiv.org/abs/1207.2778

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