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arXiv · 1705.02208

Periodic orbits in virtually contact structures

Youngjin Bae·Kevin Wiegand·Kai Zehmisch
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Abstract

We prove that certain non-exact magnetic Hamiltonian systems on products of closed hyperbolic surfaces and with a potential function of large oscillation admit non-constant contractible periodic solutions of energy below the Mañé critical value. For that we develop a theory of holomorphic curves in symplectizations of non-compact contact manifolds that arise as the covering space of a virtually contact structure whose contact form is bounded with all derivatives up to order three.

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Youngjin Bae, Kevin Wiegand, Kai Zehmisch. 2018-08-29. Periodic orbits in virtually contact structures. https://doi.org/10.1142/s1793525319500481

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