A Lusternik-Schnirelmann Type Theorem for C1-Frechet Manifolds

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Authors

  • Kaveh Eftekharinasab
     ,UA
  • Ivan Lastivka
     ,UA

DOI:

https://doi.org/10.18311/jims/2021/27836

Keywords:

Lusternik-Schnirelmann Theorem, Frechet Finsler Manifolds, Deformation Lemma
58E05, 58E30

Abstract

We prove a Lusternik-Schnirelmann type theorem for a C1- function φ : M → R, where M is a connected infinite dimensional Frechet manifold of class C1. To this end, in this context we prove the so-called Deformation Lemma and by using it we derive the result generalizing the Minimax Principle.

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Published

2021-06-14

How to Cite

Eftekharinasab, K., & Lastivka, I. (2021). A Lusternik-Schnirelmann Type Theorem for C<sup>1</sup>-Frechet Manifolds. The Journal of the Indian Mathematical Society, 88(3-4), 309–322. https://doi.org/10.18311/jims/2021/27836

Issue

Volume 88, Issue 3-4, July-December 2021

Section

Articles

License

Copyright (c) 2021 Kaveh Eftekharinasab, Ivan Lastivka

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2021-05-19
Accepted 2021-05-19
Published 2021-06-14

 

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