Gronwall's conjecture for 3-webs with two pencils of lines

dc.contributor.author	Agafonov, Sergey I. [UNESP]
dc.contributor.institution	Universidade Estadual Paulista (UNESP)
dc.date.accessioned	2025-04-29T20:09:17Z
dc.date.issued	2023-12-01
dc.description.abstract	We prove the old-standing Gronwall conjecture in the particular case of linear 3-webs whose 2 foliations are 2 pencils of lines. For a non-hexagonal 3-web, we also introduce a family of projective torsion-free Cartan connections, the web leaves being geodesics for each member of the family, and give a web linearization criterion.	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: 2014/17812-0
dc.description.sponsorshipId	FAPESP: 2017/02954-2
dc.identifier	http://dx.doi.org/10.1016/j.difgeo.2023.102071
dc.identifier.citation	Differential Geometry and its Application, v. 91.
dc.identifier.doi	10.1016/j.difgeo.2023.102071
dc.identifier.issn	0926-2245
dc.identifier.scopus	2-s2.0-85173649803
dc.identifier.uri	https://hdl.handle.net/11449/307427
dc.language.iso	eng
dc.relation.ispartof	Differential Geometry and its Application
dc.source	Scopus
dc.subject	Cartan connection
dc.subject	Gronwall conjecture
dc.subject	Linear 3-web
dc.title	Gronwall's conjecture for 3-webs with two pencils of lines	en
dc.type	Artigo	pt
dspace.entity.type	Publication

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