Confocal conics and 4-webs of maximal rank

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/10.1007/s00022-020-00562-3
http://hdl.handle.net/11449/205455
Resumo: Confocal conics form an orthogonal net. Supplementing this net with one of the following: (1) the net of Cartesian coordinate lines aligned along the principal axes of conics, (2) the net of Apollonian pencils of circles whose foci coincide with the foci of conics, (3) the net of tangents to a conic of the confocal family, we get a planar 4-web. We show that each of these 4-webs is of maximal rank and characterize confocal conics from the web theory viewpoint.
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spelling Confocal conics and 4-webs of maximal rankConfocal conicsLinearizable websWebs of maximal rankConfocal conics form an orthogonal net. Supplementing this net with one of the following: (1) the net of Cartesian coordinate lines aligned along the principal axes of conics, (2) the net of Apollonian pencils of circles whose foci coincide with the foci of conics, (3) the net of tangents to a conic of the confocal family, we get a planar 4-web. We show that each of these 4-webs is of maximal rank and characterize confocal conics from the web theory viewpoint.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Department of Mathematics São Paulo State University-UNESPDepartment of Mathematics São Paulo State University-UNESPFAPESP: 2018/20009-6Universidade Estadual Paulista (Unesp)Agafonov, Sergey I. [UNESP]2021-06-25T10:15:39Z2021-06-25T10:15:39Z2020-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s00022-020-00562-3Journal of Geometry, v. 111, n. 3, 2020.1420-89970047-2468http://hdl.handle.net/11449/20545510.1007/s00022-020-00562-32-s2.0-85095857688Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Geometryinfo:eu-repo/semantics/openAccess2021-10-23T14:33:42Zoai:repositorio.unesp.br:11449/205455Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T14:33:42Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Confocal conics and 4-webs of maximal rank
title Confocal conics and 4-webs of maximal rank
spellingShingle Confocal conics and 4-webs of maximal rank
Agafonov, Sergey I. [UNESP]
Confocal conics
Linearizable webs
Webs of maximal rank
title_short Confocal conics and 4-webs of maximal rank
title_full Confocal conics and 4-webs of maximal rank
title_fullStr Confocal conics and 4-webs of maximal rank
title_full_unstemmed Confocal conics and 4-webs of maximal rank
title_sort Confocal conics and 4-webs of maximal rank
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]
dc.subject.por.fl_str_mv Confocal conics
Linearizable webs
Webs of maximal rank
topic Confocal conics
Linearizable webs
Webs of maximal rank
description Confocal conics form an orthogonal net. Supplementing this net with one of the following: (1) the net of Cartesian coordinate lines aligned along the principal axes of conics, (2) the net of Apollonian pencils of circles whose foci coincide with the foci of conics, (3) the net of tangents to a conic of the confocal family, we get a planar 4-web. We show that each of these 4-webs is of maximal rank and characterize confocal conics from the web theory viewpoint.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-01
2021-06-25T10:15:39Z
2021-06-25T10:15:39Z
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/10.1007/s00022-020-00562-3
Journal of Geometry, v. 111, n. 3, 2020.
1420-8997
0047-2468
http://hdl.handle.net/11449/205455
10.1007/s00022-020-00562-3
2-s2.0-85095857688
url http://dx.doi.org/10.1007/s00022-020-00562-3
http://hdl.handle.net/11449/205455
identifier_str_mv Journal of Geometry, v. 111, n. 3, 2020.
1420-8997
0047-2468
10.1007/s00022-020-00562-3
2-s2.0-85095857688
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Geometry
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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_ 1799965007201435648

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