Non contractible periodic orbits for generic hamiltonian diffeomorphisms of surfaces
Resumen:
Let S be a closed surface of genus g≥1, furnished with an area form ω. We show that there exists an open and dense set Or of the space of Hamiltonian diffeomorphisms of class Cr, 1≤r≤∞, endowed with the Cr-topology, such that every f∈Or possesses infinitely many non contractible periodic orbits. We obtain a positive answer to a question asked by Viktor Ginzburg and Başak Gürel. The proof is a consequence of recent previous works of the authors [LecSa].
| 2023 | |
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HAMILTONIAN DIFFEOMORPHISM HOMOCLINIC CLASS ROTATION VECTOR LEFSCHETZ FORMULA MATHEMATICS - DYNAMICAL SYSTEMS MATHEMATICS - SYMPLECTIC GEOMETRY |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/45029 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| Sumario: | Versión permitida preprint |
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