Gronwall's conjecture for 3-webs with infinitesimal symmetries

Detalhes bibliográficos
Autor(a) principal: Agafonov, Sergey I. [UNESP]
Data de Publicação: 2020
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.4310/CAG.2020.v28.n3.a2
http://hdl.handle.net/11449/199388
Resumo: We study non-flat planar 3-webs with infinitesimal symmetries. Using multi-dimensional Schwarzian derivative we give a criterion for linearization of such webs and present a projective classification thereof. Using this classification we show that the Gronwall conjecture is true for 3-webs admitting infinitesimal symmetries.
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spelling Gronwall's conjecture for 3-webs with infinitesimal symmetriesWe study non-flat planar 3-webs with infinitesimal symmetries. Using multi-dimensional Schwarzian derivative we give a criterion for linearization of such webs and present a projective classification thereof. Using this classification we show that the Gronwall conjecture is true for 3-webs admitting infinitesimal symmetries.Department of Mathematics Säo Paulo State University UNESPDepartment of Mathematics Säo Paulo State University UNESPUniversidade Estadual Paulista (Unesp)Agafonov, Sergey I. [UNESP]2020-12-12T01:38:23Z2020-12-12T01:38:23Z2020-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article519-545http://dx.doi.org/10.4310/CAG.2020.v28.n3.a2Communications in Analysis and Geometry, v. 28, n. 3, p. 519-545, 2020.1944-99921019-8385http://hdl.handle.net/11449/19938810.4310/CAG.2020.v28.n3.a22-s2.0-85090845505Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengCommunications in Analysis and Geometryinfo:eu-repo/semantics/openAccess2021-10-22T20:11:34Zoai:repositorio.unesp.br:11449/199388Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:43:20.614112Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Gronwall's conjecture for 3-webs with infinitesimal symmetries
title Gronwall's conjecture for 3-webs with infinitesimal symmetries
spellingShingle Gronwall's conjecture for 3-webs with infinitesimal symmetries
Agafonov, Sergey I. [UNESP]
title_short Gronwall's conjecture for 3-webs with infinitesimal symmetries
title_full Gronwall's conjecture for 3-webs with infinitesimal symmetries
title_fullStr Gronwall's conjecture for 3-webs with infinitesimal symmetries
title_full_unstemmed Gronwall's conjecture for 3-webs with infinitesimal symmetries
title_sort Gronwall's conjecture for 3-webs with infinitesimal symmetries
author Agafonov, Sergey I. [UNESP]
author_facet Agafonov, Sergey I. [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Agafonov, Sergey I. [UNESP]
description We study non-flat planar 3-webs with infinitesimal symmetries. Using multi-dimensional Schwarzian derivative we give a criterion for linearization of such webs and present a projective classification thereof. Using this classification we show that the Gronwall conjecture is true for 3-webs admitting infinitesimal symmetries.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-12T01:38:23Z
2020-12-12T01:38:23Z
2020-01-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.4310/CAG.2020.v28.n3.a2
Communications in Analysis and Geometry, v. 28, n. 3, p. 519-545, 2020.
1944-9992
1019-8385
http://hdl.handle.net/11449/199388
10.4310/CAG.2020.v28.n3.a2
2-s2.0-85090845505
url http://dx.doi.org/10.4310/CAG.2020.v28.n3.a2
http://hdl.handle.net/11449/199388
identifier_str_mv Communications in Analysis and Geometry, v. 28, n. 3, p. 519-545, 2020.
1944-9992
1019-8385
10.4310/CAG.2020.v28.n3.a2
2-s2.0-85090845505
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Communications in Analysis and Geometry
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 519-545
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129454715699200

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