Tangential category and critical point theory
Differential Geometry
2016-11-26 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1207.2778,
title = {Tangential category and critical point theory},
author = {Carlos Meniño Cotón},
journal= {arXiv preprint arXiv:1207.2778},
year = {2016}
}
Comments
10 pages