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 language | English |
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Pages (from-to) | 545-570 |
Journal | Journal of Topology and Analysis |
Volume | 8 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Sep 2016 |
Externally published | Yes |