Connectedness of the algebraic set of vectors generating planar normal sections of homogeneous isoparametric hypersurfaces

Autores
Sanchez, Cristian Urbano
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let M Sn+1 Rn+2 be a homogeneous isoparametric hypersurfaceand consider the algebraic set of unit tangent vectors generating planarnormal sections at a point E 2 M (denoted by bXE [M] TE (M)). Th epresent paper is devoted to prove that bXE [M] is connected by arcs.. This in turn proves that its projective image X [M] RP (TE (M)) also has this property.
Fil: Sanchez, Cristian Urbano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Materia
NORMAL SECTIONS
ISOPARAMETRIC SUBMANIFOLDS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/60705
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/60705
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Connectedness of the algebraic set of vectors generating planar normal sections of homogeneous isoparametric hypersurfacesSanchez, Cristian UrbanoNORMAL SECTIONSISOPARAMETRIC SUBMANIFOLDShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let M Sn+1 Rn+2 be a homogeneous isoparametric hypersurfaceand consider the algebraic set of unit tangent vectors generating planarnormal sections at a point E 2 M (denoted by bXE [M] TE (M)). Th epresent paper is devoted to prove that bXE [M] is connected by arcs.. This in turn proves that its projective image X [M] RP (TE (M)) also has this property.Fil: Sanchez, Cristian Urbano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaUnión Matemática Argentina2017-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/60705Sanchez, Cristian Urbano; Connectedness of the algebraic set of vectors generating planar normal sections of homogeneous isoparametric hypersurfaces; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 56; 2; 6-2017; 119-1330041-69321669-9637CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/revuma.php?p=toc/vol58info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:16:47Zoai:ri.conicet.gov.ar:11336/60705instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:16:47.96CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Connectedness of the algebraic set of vectors generating planar normal sections of homogeneous isoparametric hypersurfaces
title Connectedness of the algebraic set of vectors generating planar normal sections of homogeneous isoparametric hypersurfaces
spellingShingle Connectedness of the algebraic set of vectors generating planar normal sections of homogeneous isoparametric hypersurfaces
Sanchez, Cristian Urbano
NORMAL SECTIONS
ISOPARAMETRIC SUBMANIFOLDS
title_short Connectedness of the algebraic set of vectors generating planar normal sections of homogeneous isoparametric hypersurfaces
title_full Connectedness of the algebraic set of vectors generating planar normal sections of homogeneous isoparametric hypersurfaces
title_fullStr Connectedness of the algebraic set of vectors generating planar normal sections of homogeneous isoparametric hypersurfaces
title_full_unstemmed Connectedness of the algebraic set of vectors generating planar normal sections of homogeneous isoparametric hypersurfaces
title_sort Connectedness of the algebraic set of vectors generating planar normal sections of homogeneous isoparametric hypersurfaces
dc.creator.none.fl_str_mv Sanchez, Cristian Urbano
author Sanchez, Cristian Urbano
author_facet Sanchez, Cristian Urbano
author_role author
dc.subject.none.fl_str_mv NORMAL SECTIONS
ISOPARAMETRIC SUBMANIFOLDS
topic NORMAL SECTIONS
ISOPARAMETRIC SUBMANIFOLDS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let M Sn+1 Rn+2 be a homogeneous isoparametric hypersurfaceand consider the algebraic set of unit tangent vectors generating planarnormal sections at a point E 2 M (denoted by bXE [M] TE (M)). Th epresent paper is devoted to prove that bXE [M] is connected by arcs.. This in turn proves that its projective image X [M] RP (TE (M)) also has this property.
Fil: Sanchez, Cristian Urbano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
description Let M Sn+1 Rn+2 be a homogeneous isoparametric hypersurfaceand consider the algebraic set of unit tangent vectors generating planarnormal sections at a point E 2 M (denoted by bXE [M] TE (M)). Th epresent paper is devoted to prove that bXE [M] is connected by arcs.. This in turn proves that its projective image X [M] RP (TE (M)) also has this property.
publishDate 2017
dc.date.none.fl_str_mv 2017-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/60705
Sanchez, Cristian Urbano; Connectedness of the algebraic set of vectors generating planar normal sections of homogeneous isoparametric hypersurfaces; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 56; 2; 6-2017; 119-133
0041-6932
1669-9637
CONICET Digital
CONICET
url http://hdl.handle.net/11336/60705
identifier_str_mv Sanchez, Cristian Urbano; Connectedness of the algebraic set of vectors generating planar normal sections of homogeneous isoparametric hypersurfaces; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 56; 2; 6-2017; 119-133
0041-6932
1669-9637
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/revuma.php?p=toc/vol58
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Unión Matemática Argentina
publisher.none.fl_str_mv Unión Matemática Argentina
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844614115536928768
score 13.070432

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