Abstract
In this paper we introduce symplectic invariants for convex Hamiltonian energy surfaces and their periodic trajectories and show that these quentities satisfy several nontrivial relations. In particular we show that they can be used to prove multiplicity results for the number of periodic trajectories.
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Communicated by J. N. Mather
This paper represents results obtained while holding a visiting position at the Courant Institute for Mathematical Sciences, New York
Research partially supported by NSF Grant No. DMS-8603149 and a Rutgers University Research Council Grant
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Ekeland, I., Hofer, H. Convex Hamiltonian energy surfaces and their periodic trajectories. Commun.Math. Phys. 113, 419–469 (1987). https://doi.org/10.1007/BF01221255
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DOI: https://doi.org/10.1007/BF01221255