New smooth counterexamples to the Hamiltonian Seifert conjecture

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dc.creatorKerman, Ely
dc.date2001-01-23
dc.date.accessioned2026-07-07T04:39:46Z
dc.date.available2026-07-07T04:39:46Z
dc.descriptionWe construct a new aperiodic symplectic plug and hence new smooth counterexamples to the Hamiltonian Seifert conjecture in R^{2n} for n>2. In other words, we develop an alternative procedure, to those of V. L. Ginzburg and M. Herman, for constructing smooth Hamiltonian flows, on the standard symplectic R^{2n} for n>2, which have compact regular level sets that contain no periodic orbits. The plug described here is a modification of those built by Ginzburg. In particular, we utilize a different "trap" which makes the necessary embeddings of this plug much easier to construct.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0101185
dc.identifierhttp://arxiv.org/abs/math/0101185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60800
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subjectSymplectic Geometry
dc.subject(primary)57R30;(secondary)58F05
dc.titleNew smooth counterexamples to the Hamiltonian Seifert conjecture
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