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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/53217
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T10:01:57Zoai: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:34982025-09-29 10:01:57.833CONICET 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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1844613818972372992 |
score |
13.070432 |