Spectra of orbifolds with cyclic fundamental groups

Autores
Lauret, Emilio Agustin
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace–Beltrami operators twisted by characters of the corresponding fundamental group. To prove the characterization, we first give an explicit description of their spectra using generating functions. We also include many isospectral examples.
Fil: Lauret, Emilio Agustin. 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
CYCLIC FUNDAMENTAL GROUP
ISOSPECTRAL
LENS SPACE
ONE-NORM
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:11336/58446
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/58446
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Spectra of orbifolds with cyclic fundamental groupsLauret, Emilio AgustinCYCLIC FUNDAMENTAL GROUPISOSPECTRALLENS SPACEONE-NORMSPECTRUMhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace–Beltrami operators twisted by characters of the corresponding fundamental group. To prove the characterization, we first give an explicit description of their spectra using generating functions. We also include many isospectral examples.Fil: Lauret, Emilio Agustin. 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; ArgentinaSpringer2016-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/zipapplication/pdfhttp://hdl.handle.net/11336/58446Lauret, Emilio Agustin; Spectra of orbifolds with cyclic fundamental groups; Springer; Annals Of Global Analysis And Geometry; 50; 1; 7-2016; 1-280232-704XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10455-016-9498-0info:eu-repo/semantics/altIdentifier/doi/10.1007/s10455-016-9498-0info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1510.05948info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:13:26Zoai:ri.conicet.gov.ar:11336/58446instacron: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 10:13:27.087CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Spectra of orbifolds with cyclic fundamental groups
title Spectra of orbifolds with cyclic fundamental groups
spellingShingle Spectra of orbifolds with cyclic fundamental groups
Lauret, Emilio Agustin
CYCLIC FUNDAMENTAL GROUP
ISOSPECTRAL
LENS SPACE
ONE-NORM
SPECTRUM
title_short Spectra of orbifolds with cyclic fundamental groups
title_full Spectra of orbifolds with cyclic fundamental groups
title_fullStr Spectra of orbifolds with cyclic fundamental groups
title_full_unstemmed Spectra of orbifolds with cyclic fundamental groups
title_sort Spectra of orbifolds with cyclic fundamental groups
dc.creator.none.fl_str_mv Lauret, Emilio Agustin
author Lauret, Emilio Agustin
author_facet Lauret, Emilio Agustin
author_role author
dc.subject.none.fl_str_mv CYCLIC FUNDAMENTAL GROUP
ISOSPECTRAL
LENS SPACE
ONE-NORM
SPECTRUM
topic CYCLIC FUNDAMENTAL GROUP
ISOSPECTRAL
LENS SPACE
ONE-NORM
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 give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace–Beltrami operators twisted by characters of the corresponding fundamental group. To prove the characterization, we first give an explicit description of their spectra using generating functions. We also include many isospectral examples.
Fil: Lauret, Emilio Agustin. 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 We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace–Beltrami operators twisted by characters of the corresponding fundamental group. To prove the characterization, we first give an explicit description of their spectra using generating functions. We also include many isospectral examples.
publishDate 2016
dc.date.none.fl_str_mv 2016-07
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/11336/58446
Lauret, Emilio Agustin; Spectra of orbifolds with cyclic fundamental groups; Springer; Annals Of Global Analysis And Geometry; 50; 1; 7-2016; 1-28
0232-704X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/58446
identifier_str_mv Lauret, Emilio Agustin; Spectra of orbifolds with cyclic fundamental groups; Springer; Annals Of Global Analysis And Geometry; 50; 1; 7-2016; 1-28
0232-704X
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://link.springer.com/article/10.1007/s10455-016-9498-0
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10455-016-9498-0
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1510.05948
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/zip
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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 13.070432

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