
Convex Hamiltonian energy surfaces and their periodic trajectories
Hofer, Helmut; Ekeland, Ivar (1987), Convex Hamiltonian energy surfaces and their periodic trajectories, Communications in Mathematical Physics, 113, 3, p. 419-469. http://dx.doi.org/10.1007/BF01221255
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Type
Article accepté pour publication ou publiéDate
1987Journal name
Communications in Mathematical PhysicsVolume
113Number
3Publisher
Springer
Pages
419-469
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Show full item recordAbstract (EN)
In this paper we introduce symplectic invariants for convex Hamiltonian energy surfaces and their periodic trajectories and show that these quantities satisfy several nontrivial relations. In particular we show that they can be used to prove multiplicity results for the number of periodic trajectories.Subjects / Keywords
convex Hamiltonian energy surfacesRelated items
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