Planar normal sections of focal manifolds of isoparametric hypersurfaces in spheres

Autores
Sanchez, Cristian Urbano
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The present paper contains some results about the algebraic setsof planar normal sections associated to the focal manifolds of homogeneous isoparametric hypersurfaces in spheres. With the usual identication of thetangent spaces to the focal manifold with subspaces of the tangent spaces to the isoparametric hypersurface, it is proven that the algebraic set of planarnormal sections of the focal manifold is contained in that of the original hypersurface.
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:11336/53217
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Planar normal sections of focal manifolds of isoparametric hypersurfaces in spheresSanchez, Cristian UrbanoNORMAL SECTIONSISOPARAMETRIC SUBMANIFOLDShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The present paper contains some results about the algebraic setsof planar normal sections associated to the focal manifolds of homogeneous isoparametric hypersurfaces in spheres. With the usual identication of thetangent spaces to the focal manifold with subspaces of the tangent spaces to the isoparametric hypersurface, it is proven that the algebraic set of planarnormal sections of the focal manifold is contained in that of the original hypersurface.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 Argentina2015-06-24info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/53217Sanchez, Cristian Urbano; Planar normal sections of focal manifolds of isoparametric hypersurfaces in spheres; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 56; 2; 24-6-2015; 119-1330041-69321669-9637CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/pdf/v56n2/v56n2a08.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:31:25Zoai:ri.conicet.gov.ar:11336/53217instacron: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:34982025-10-22 11:31:26.174CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Planar normal sections of focal manifolds of isoparametric hypersurfaces in spheres
title Planar normal sections of focal manifolds of isoparametric hypersurfaces in spheres
spellingShingle Planar normal sections of focal manifolds of isoparametric hypersurfaces in spheres
Sanchez, Cristian Urbano
NORMAL SECTIONS
ISOPARAMETRIC SUBMANIFOLDS
title_short Planar normal sections of focal manifolds of isoparametric hypersurfaces in spheres
title_full Planar normal sections of focal manifolds of isoparametric hypersurfaces in spheres
title_fullStr Planar normal sections of focal manifolds of isoparametric hypersurfaces in spheres
title_full_unstemmed Planar normal sections of focal manifolds of isoparametric hypersurfaces in spheres
title_sort Planar normal sections of focal manifolds of isoparametric hypersurfaces in spheres
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 The present paper contains some results about the algebraic setsof planar normal sections associated to the focal manifolds of homogeneous isoparametric hypersurfaces in spheres. With the usual identication of thetangent spaces to the focal manifold with subspaces of the tangent spaces to the isoparametric hypersurface, it is proven that the algebraic set of planarnormal sections of the focal manifold is contained in that of the original hypersurface.
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 The present paper contains some results about the algebraic setsof planar normal sections associated to the focal manifolds of homogeneous isoparametric hypersurfaces in spheres. With the usual identication of thetangent spaces to the focal manifold with subspaces of the tangent spaces to the isoparametric hypersurface, it is proven that the algebraic set of planarnormal sections of the focal manifold is contained in that of the original hypersurface.
publishDate 2015
dc.date.none.fl_str_mv 2015-06-24
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/11336/53217
Sanchez, Cristian Urbano; Planar normal sections of focal manifolds of isoparametric hypersurfaces in spheres; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 56; 2; 24-6-2015; 119-133
0041-6932
1669-9637
CONICET Digital
CONICET
url http://hdl.handle.net/11336/53217
identifier_str_mv Sanchez, Cristian Urbano; Planar normal sections of focal manifolds of isoparametric hypersurfaces in spheres; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 56; 2; 24-6-2015; 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/pdf/v56n2/v56n2a08.pdf
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
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score 12.982451

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