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Quadratic integrals of geodesic flow, webs, and integrable billiards

dc.contributor.authorAgafonov, Sergey I. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2021-06-25T10:54:54Z
dc.date.available2021-06-25T10:54:54Z
dc.date.issued2021-03-01
dc.description.abstractWe present a geometric interpretation of integrability of geodesic flow by quadratic integrals in terms of the web theory and construct integrable billiards on surfaces admitting such integrals.en
dc.description.affiliationDepartment of Mathematics São Paulo State University-UNESP, São José do Rio Preto
dc.description.affiliationUnespDepartment of Mathematics São Paulo State University-UNESP, São José do Rio Preto
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipDeutscher Akademischer Austauschdienst
dc.description.sponsorshipIdFAPESP: #2018/20009-6
dc.description.sponsorshipIdDeutscher Akademischer Austauschdienst: #91727921
dc.identifierhttp://dx.doi.org/10.1016/j.geomphys.2020.104041
dc.identifier.citationJournal of Geometry and Physics, v. 161.
dc.identifier.doi10.1016/j.geomphys.2020.104041
dc.identifier.issn0393-0440
dc.identifier.scopus2-s2.0-85102295899
dc.identifier.urihttp://hdl.handle.net/11449/207422
dc.language.isoeng
dc.relation.ispartofJournal of Geometry and Physics
dc.sourceScopus
dc.subjectGeodesic flow
dc.subjectHexagonal 3-webs
dc.subjectIntegrable billiards
dc.titleQuadratic integrals of geodesic flow, webs, and integrable billiardsen
dc.typeArtigo
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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