Survey of isospectral homogeneous Riemannian manifolds

Autores
Lauret, Emilio Agustin
Año de publicación
2022
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
We will review several results on inverse spectral geometry in the setting of homogeneous Riemannian manifolds.Somekey points will beSchueth’s examples ofcontinuous curves of isospectral left-invariant metrics on compact Lie groups, Sutton’s construction of isospectral compact homogeneous Riemannian manifolds(as a generalization of Sunada-Pesce’s method), and spectral isolation/uniqueness problems amongG−invariant metrics on a fixed homogeneous space G/K.
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. Universidad Nacional del Sur. Departamento de Matemática; Argentina
6th TWAS Young Affiliate Network (TYAN) Thematic Workshop in Mathematics and 1st Advanced School in Mathematics
São Paulo
Brasil
TWAS Young Affiliates Network
Materia
ISOSPECTRALITY
HOMOGENEOUS RIEMANNIAN MANIFOLDS
SPECTRAL UNIQUENESS
LAPLACE BELTRAMI OPERATOR
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:11336/197924
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/197924
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Survey of isospectral homogeneous Riemannian manifoldsLauret, Emilio AgustinISOSPECTRALITYHOMOGENEOUS RIEMANNIAN MANIFOLDSSPECTRAL UNIQUENESSLAPLACE BELTRAMI OPERATORhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We will review several results on inverse spectral geometry in the setting of homogeneous Riemannian manifolds.Somekey points will beSchueth’s examples ofcontinuous curves of isospectral left-invariant metrics on compact Lie groups, Sutton’s construction of isospectral compact homogeneous Riemannian manifolds(as a generalization of Sunada-Pesce’s method), and spectral isolation/uniqueness problems amongG−invariant metrics on a fixed homogeneous space G/K.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. Universidad Nacional del Sur. Departamento de Matemática; Argentina6th TWAS Young Affiliate Network (TYAN) Thematic Workshop in Mathematics and 1st Advanced School in MathematicsSão PauloBrasilTWAS Young Affiliates NetworkUniversidade de São Paulo2022info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectWorkshopBookhttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/197924Survey of isospectral homogeneous Riemannian manifolds; 6th TWAS Young Affiliate Network (TYAN) Thematic Workshop in Mathematics and 1st Advanced School in Mathematics; São Paulo; Brasil; 2022; 22-22CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://sbm.org.br/tyan/Internacionalinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:06:41Zoai:ri.conicet.gov.ar:11336/197924instacron: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:34982025-09-03 10:06:41.5CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Survey of isospectral homogeneous Riemannian manifolds
title Survey of isospectral homogeneous Riemannian manifolds
spellingShingle Survey of isospectral homogeneous Riemannian manifolds
Lauret, Emilio Agustin
ISOSPECTRALITY
HOMOGENEOUS RIEMANNIAN MANIFOLDS
SPECTRAL UNIQUENESS
LAPLACE BELTRAMI OPERATOR
title_short Survey of isospectral homogeneous Riemannian manifolds
title_full Survey of isospectral homogeneous Riemannian manifolds
title_fullStr Survey of isospectral homogeneous Riemannian manifolds
title_full_unstemmed Survey of isospectral homogeneous Riemannian manifolds
title_sort Survey of isospectral homogeneous Riemannian manifolds
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 ISOSPECTRALITY
HOMOGENEOUS RIEMANNIAN MANIFOLDS
SPECTRAL UNIQUENESS
LAPLACE BELTRAMI OPERATOR
topic ISOSPECTRALITY
HOMOGENEOUS RIEMANNIAN MANIFOLDS
SPECTRAL UNIQUENESS
LAPLACE BELTRAMI OPERATOR
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 will review several results on inverse spectral geometry in the setting of homogeneous Riemannian manifolds.Somekey points will beSchueth’s examples ofcontinuous curves of isospectral left-invariant metrics on compact Lie groups, Sutton’s construction of isospectral compact homogeneous Riemannian manifolds(as a generalization of Sunada-Pesce’s method), and spectral isolation/uniqueness problems amongG−invariant metrics on a fixed homogeneous space G/K.
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. Universidad Nacional del Sur. Departamento de Matemática; Argentina
6th TWAS Young Affiliate Network (TYAN) Thematic Workshop in Mathematics and 1st Advanced School in Mathematics
São Paulo
Brasil
TWAS Young Affiliates Network
description We will review several results on inverse spectral geometry in the setting of homogeneous Riemannian manifolds.Somekey points will beSchueth’s examples ofcontinuous curves of isospectral left-invariant metrics on compact Lie groups, Sutton’s construction of isospectral compact homogeneous Riemannian manifolds(as a generalization of Sunada-Pesce’s method), and spectral isolation/uniqueness problems amongG−invariant metrics on a fixed homogeneous space G/K.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/conferenceObject
Workshop
Book
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
status_str publishedVersion
format conferenceObject
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/197924
Survey of isospectral homogeneous Riemannian manifolds; 6th TWAS Young Affiliate Network (TYAN) Thematic Workshop in Mathematics and 1st Advanced School in Mathematics; São Paulo; Brasil; 2022; 22-22
CONICET Digital
CONICET
url http://hdl.handle.net/11336/197924
identifier_str_mv Survey of isospectral homogeneous Riemannian manifolds; 6th TWAS Young Affiliate Network (TYAN) Thematic Workshop in Mathematics and 1st Advanced School in Mathematics; São Paulo; Brasil; 2022; 22-22
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://sbm.org.br/tyan/
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.coverage.none.fl_str_mv Internacional
dc.publisher.none.fl_str_mv Universidade de São Paulo
publisher.none.fl_str_mv Universidade de São Paulo
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 13.13397

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