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dc.contributor.authorContatto, Fen
dc.contributor.authorDunajski, Maciejen
dc.date.accessioned2017-10-30T09:42:05Z
dc.date.available2017-10-30T09:42:05Z
dc.date.issued2016-12-23en
dc.identifier.issn2058-5985
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/267951
dc.description.abstractWe find necessary and sufficient conditions for a local geodesic flow of an affine connection on a surface to admit a linear first integral. The conditions are expressed in terms of two scalar invariants of differential orders 3 and 4 in the connection. We use this result to find explicit obstructions to the existence of a Hamiltonian formulation of Dubrovin–Novikov type for a given one-dimensional system of hydrodynamic type. We give several examples including Zoll connections, and Hamiltonian systems arising from twodimensional Frobenius manifolds.
dc.description.sponsorshipCambridge Commonwealth, European & International Trust and CAPES Foundation (Grant Proc. BEX 13656/13-9) to F.C.
dc.language.isoenen
dc.publisherOxford University Press
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rightsAttribution-NonCommercial 4.0 Internationalen
dc.rightsAttribution-NonCommercial 4.0 Internationalen
dc.rightsAttribution-NonCommercial 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/en
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/en
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/en
dc.subjectmath.DGen
dc.subjectmath.DGen
dc.subjecthep-then
dc.subjectnlin.SIen
dc.subjectaffine connectionsen
dc.subjectHamiltonian systemsen
dc.subjecthydrodynamic typeen
dc.titleFirst integrals of affine connections and Hamiltonian systems of hydrodynamic typeen
dc.typeArticle
prism.issueIdentifier1en
prism.numberxyw009en
prism.publicationDate2016en
prism.publicationNameJournal of Integrable Systemsen
prism.volume1en
dc.identifier.doi10.17863/CAM.13880
dcterms.dateAccepted2016-07-25en
rioxxterms.versionofrecord10.1093/integr/xyw009en
rioxxterms.versionVoRen
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by-nc/4.0/en
rioxxterms.licenseref.startdate2016-12-23en
dc.identifier.eissn2058-5985
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idSTFC (ST/L000385/1)
pubs.funder-project-idSTFC (ST/P000681/1)
cam.issuedOnline2016-12-23en
cam.orpheus.successThu Jan 30 13:01:29 GMT 2020 - The item has an open VoR version.*
rioxxterms.freetoread.startdate2100-01-01


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Attribution-NonCommercial-NoDerivatives 4.0 International
Except where otherwise noted, this item's licence is described as Attribution-NonCommercial-NoDerivatives 4.0 International