The Lusternik-Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles

L. Asselle, G. Benedetti

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

© 2016 World Scientific Publishing Company.Let M be a closed manifold and consider the Hamiltonian flow associated to an autonomous Tonelli Hamiltonian H: T∗M → ℝ and a twisted symplectic form. In this paper we study the existence of contractible periodic orbits for such a flow. Our main result asserts that if M is not aspherical, then contractible periodic orbits exist for almost all energies above the maximum critical value of H.
Original languageEnglish
Pages (from-to)545-570
JournalJournal of Topology and Analysis
Volume8
Issue number3
DOIs
Publication statusPublished - 1 Sep 2016
Externally publishedYes

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