A C^2-smooth counterexample to the Hamiltonian Seifert conjecture in R^4

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We give a detailed construction of a proper C^2-smooth function on R^4 such that its Hamiltonian flow has no periodic orbits on at least one regular level set. This result can be viewed as a C^2-smooth counterexample to the Hamiltonian Seifert conjecture in dimension four.
latex, 19 pages

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Differential Geometry, Dynamical Systems, Symplectic Geometry, 37J45; 53D30

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http://salesiana.dossiersoluciones.com/handle/123456789/62320

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0110047
 http://arxiv.org/abs/math/0110047

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arXiv