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

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dc.creatorGinzburg, Viktor L.
dc.creatorGurel, Basak Z.
dc.date2001-09-20
dc.date.accessioned2026-07-07T04:43:28Z
dc.date.available2026-07-07T04:43:28Z
dc.descriptionWe 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.
dc.descriptionlatex, 8 pages
dc.identifierhttps://arxiv.org/abs/math/0109153
dc.identifierhttp://arxiv.org/abs/math/0109153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62239
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subjectSymplectic Geometry
dc.subject37J45 and 53D30
dc.titleOn the construction of a C^2-counterexample to the Hamiltonian Seifert Conjecture in R^4
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