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.
The Lusternik-Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles / Asselle, L.; Benedetti, G.. - In: JOURNAL OF TOPOLOGY AND ANALYSIS. - ISSN 1793-5253. - 8:3(2016), pp. 545-570. [10.1142/S1793525316500205]
The Lusternik-Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles
Asselle L.;Benedetti G.
2016-01-01
Abstract
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.| File | Dimensione | Formato | |
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