Integrable geodesic flow in 3D and webs of maximal rank

dc.contributor.author	Agafonov, Sergey I. [UNESP]
dc.contributor.institution	Universidade Estadual Paulista (UNESP)
dc.date.accessioned	2025-04-29T20:15:01Z
dc.date.issued	2024-12-01
dc.description.abstract	We characterize geodesic flows, admitting two commuting quadratic integrals with common principal directions, in terms of the geodesic 4-webs such that the tangents to the web leaves are common zero directions of the integrals. We prove that, under some natural geometric hypothesis, the metric is of Stäckel type.	en
dc.description.affiliation	Department of Mathematics São Paulo State University-UNESP
dc.description.affiliationUnesp	Department of Mathematics São Paulo State University-UNESP
dc.description.sponsorship	Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipId	FAPESP: 2022/12813-5
dc.identifier	http://dx.doi.org/10.1007/s13324-024-00987-y
dc.identifier.citation	Analysis and Mathematical Physics, v. 14, n. 6, 2024.
dc.identifier.doi	10.1007/s13324-024-00987-y
dc.identifier.issn	1664-235X
dc.identifier.issn	1664-2368
dc.identifier.scopus	2-s2.0-85209782167
dc.identifier.uri	https://hdl.handle.net/11449/309290
dc.language.iso	eng
dc.relation.ispartof	Analysis and Mathematical Physics
dc.source	Scopus
dc.subject	37J06
dc.subject	53A60
dc.subject	Integrable geodesic flow
dc.subject	Stäckel metric
dc.subject	Web rank
dc.title	Integrable geodesic flow in 3D and webs of maximal rank	en
dc.type	Artigo	pt
dspace.entity.type	Publication

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