On the construction of a C^2-counterexample to the Hamiltonian Seifert Conjecture in R^4

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We outline the 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, 8 pages

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

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http://salesiana.dossiersoluciones.com/handle/123456789/62239

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0109153
 http://arxiv.org/abs/math/0109153

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arXiv