Periodic orbits in virtually contact structures
Keyword(s):
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.
1978 ◽
Vol 82
(1-2)
◽
pp. 13-17
◽
2016 ◽
Vol 08
(03)
◽
pp. 545-570
◽
Keyword(s):
1990 ◽
Vol 13
(3)
◽
pp. 545-553
◽
1990 ◽
Vol 114
(1-2)
◽
pp. 1-13
◽
2017 ◽
Vol 27
(14)
◽
pp. 1750225
◽
2018 ◽
Vol 61
(1)
◽
pp. 85-96
◽
2017 ◽
Vol 71
(2)
◽
pp. 1