Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level

dc.contributor.author	Abbondandolo, Alberto
dc.contributor.author	Macarini, Leonardo
dc.contributor.author	Mazzucchelli, Marco
dc.contributor.author	Paternain, Gabriel
dc.date.accessioned	2018-09-20T12:04:24Z
dc.date.available	2018-09-20T12:04:24Z
dc.date.issued	2017
dc.identifier.issn	1435-9855
dc.identifier.uri	https://www.repository.cam.ac.uk/handle/1810/280470
dc.description.abstract	We consider an exact magnetic flow on the tangent bundle of a closed surface. We prove that for almost every energy level $\kappa$ below the Ma\~n\'e critical value of the universal cover there are infinitely many periodic orbits with energy $\kappa$.
dc.publisher	European Mathematical Society - EMS - Publishing House GmbH
dc.subject	Exact magnetic flows
dc.subject	periodic orbits
dc.subject	closed geodesics
dc.title	Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level
dc.type	Article
prism.endingPage	579
prism.issueIdentifier	2
prism.publicationDate	2017
prism.publicationName	JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
prism.startingPage	551
prism.volume	19
dc.identifier.doi	10.17863/CAM.27841
rioxxterms.versionofrecord	10.4171/JEMS/674
rioxxterms.licenseref.uri	http://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate	2017
dc.publisher.url	http://dx.doi.org/10.4171/JEMS/674
rioxxterms.type	Journal Article/Review
rioxxterms.freetoread.startdate	2018-12-25

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