Isospectral spherical space forms and orbifolds of highest volume

Autores
Álzaga, Alfredo; Lauret, Emilio Agustin
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We prove that vol(S d)/8 is the highest volume of a pair of ddimensional isospectral and non-isometric spherical orbifolds for any d ≥ 5. Furthermore, we show that vol(S 2n−1 )/11 is the highest volume of a pair of (2n − 1)-dimensional isospectral and non-isometric spherical space forms if either n ≥ 11 and n ≡ 1 (mod 5), or n ≥ 7 and n ≡ 2 (mod 5), or n ≥ 3 and n ≡ 3 (mod 5).
Fil: Álzaga, Alfredo. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Materia
LENS SPACE
LENS ORBIFOLD
SPHERICAL SPACE FORM
SPECTRUM
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:11336/264154
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/264154
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Isospectral spherical space forms and orbifolds of highest volumeÁlzaga, AlfredoLauret, Emilio AgustinLENS SPACELENS ORBIFOLDSPHERICAL SPACE FORMSPECTRUMhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We prove that vol(S d)/8 is the highest volume of a pair of ddimensional isospectral and non-isometric spherical orbifolds for any d ≥ 5. Furthermore, we show that vol(S 2n−1 )/11 is the highest volume of a pair of (2n − 1)-dimensional isospectral and non-isometric spherical space forms if either n ≥ 11 and n ≡ 1 (mod 5), or n ≥ 7 and n ≡ 2 (mod 5), or n ≥ 3 and n ≡ 3 (mod 5).Fil: Álzaga, Alfredo. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaFil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaUnión Matemática Argentina2025-02-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/264154Álzaga, Alfredo; Lauret, Emilio Agustin; Isospectral spherical space forms and orbifolds of highest volume; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 05-2-2025; 1-211669-9637CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/4943info:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.4943info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:37:21Zoai:ri.conicet.gov.ar:11336/264154instacron: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 10:37:22.136CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Isospectral spherical space forms and orbifolds of highest volume
title Isospectral spherical space forms and orbifolds of highest volume
spellingShingle Isospectral spherical space forms and orbifolds of highest volume
Álzaga, Alfredo
LENS SPACE
LENS ORBIFOLD
SPHERICAL SPACE FORM
SPECTRUM
title_short Isospectral spherical space forms and orbifolds of highest volume
title_full Isospectral spherical space forms and orbifolds of highest volume
title_fullStr Isospectral spherical space forms and orbifolds of highest volume
title_full_unstemmed Isospectral spherical space forms and orbifolds of highest volume
title_sort Isospectral spherical space forms and orbifolds of highest volume
dc.creator.none.fl_str_mv Álzaga, Alfredo
Lauret, Emilio Agustin
author Álzaga, Alfredo
author_facet Álzaga, Alfredo
Lauret, Emilio Agustin
author_role author
author2 Lauret, Emilio Agustin
author2_role author
dc.subject.none.fl_str_mv LENS SPACE
LENS ORBIFOLD
SPHERICAL SPACE FORM
SPECTRUM
topic LENS SPACE
LENS ORBIFOLD
SPHERICAL SPACE FORM
SPECTRUM
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We prove that vol(S d)/8 is the highest volume of a pair of ddimensional isospectral and non-isometric spherical orbifolds for any d ≥ 5. Furthermore, we show that vol(S 2n−1 )/11 is the highest volume of a pair of (2n − 1)-dimensional isospectral and non-isometric spherical space forms if either n ≥ 11 and n ≡ 1 (mod 5), or n ≥ 7 and n ≡ 2 (mod 5), or n ≥ 3 and n ≡ 3 (mod 5).
Fil: Álzaga, Alfredo. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
description We prove that vol(S d)/8 is the highest volume of a pair of ddimensional isospectral and non-isometric spherical orbifolds for any d ≥ 5. Furthermore, we show that vol(S 2n−1 )/11 is the highest volume of a pair of (2n − 1)-dimensional isospectral and non-isometric spherical space forms if either n ≥ 11 and n ≡ 1 (mod 5), or n ≥ 7 and n ≡ 2 (mod 5), or n ≥ 3 and n ≡ 3 (mod 5).
publishDate 2025
dc.date.none.fl_str_mv 2025-02-05
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/11336/264154
Álzaga, Alfredo; Lauret, Emilio Agustin; Isospectral spherical space forms and orbifolds of highest volume; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 05-2-2025; 1-21
1669-9637
CONICET Digital
CONICET
url http://hdl.handle.net/11336/264154
identifier_str_mv Álzaga, Alfredo; Lauret, Emilio Agustin; Isospectral spherical space forms and orbifolds of highest volume; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 05-2-2025; 1-21
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/https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/4943
info:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.4943
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_ 1844614393805930496
score 13.070432

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