dc.contributor.author
Cardona, R.
dc.contributor.author
Rechtman, A.
dc.date.accessioned
2025-06-11T12:36:00Z
dc.date.available
2025-06-11T12:36:00Z
dc.date.issued
2025-02-18
dc.identifier.uri
http://hdl.handle.net/2072/484421
dc.description.abstract
Stable Hamiltonian structures generalize contact forms and define a volumepreserving vector field known as the Reeb vector field. We study two aspects of Reeb vector fields defined by stable Hamiltonian structures on 3-manifolds: on the one hand, we classify all the examples with finitely many periodic orbits under a non-degeneracy condition; on the other, we give sufficient conditions for the existence of a supporting broken book decomposition and for the existence of a Birkhoff section.
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dc.description.sponsorship
R.C. thanks the LabEx IRMIA and the Université de Strasbourg for their support, and was partially supported by the AEI grant PID2019-103849GB-I00 / AEI / 10.13039/501100011033. Both authors are partially supported by the ANR grant CoSyDy (ANR-CE40-0014).
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dc.format.extent
53 p.
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dc.publisher
Ecole Polytechnique
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dc.relation.ispartof
Journal de l'Ecole Polytechnique - Mathematiques
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dc.rights
Attribution 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Birkhoff section
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dc.subject.other
Periodic orbit
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dc.subject.other
Stable hamiltonian structure
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dc.subject.other
Transverse section
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dc.title
Periodic orbits and Birkhoff sections of stable Hamiltonian structures
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/publishedVersion
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dc.identifier.doi
10.5802/jep.289
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
