The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems

Autores
Lauret, Emilio Agustin; Linowitz, Benjamin
Año de publicación
2024
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The spectral geometry of negatively curved manifolds has received more attention than its positive curvature counterpart. In this paper we will survey a variety of spectral geometry results that are known to hold in the context of hyperbolic manifolds and discuss the extent to which analogous results hold in the setting of spherical manifolds. We conclude with a number of open problems.
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
Fil: Linowitz, Benjamin. Oberlin College; Estados Unidos
Materia
LENS SPACES
ISOSPECTRALITY
SPHERICAL SPACE FORMS
SPHERICAL ORBIFOLDS
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:11336/241288
Acceder
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network_name_str CONICET Digital (CONICET)
spelling The spectral geometry of hyperbolic and spherical manifolds: analogies and open problemsLauret, Emilio AgustinLinowitz, BenjaminLENS SPACESISOSPECTRALITYSPHERICAL SPACE FORMSSPHERICAL ORBIFOLDShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The spectral geometry of negatively curved manifolds has received more attention than its positive curvature counterpart. In this paper we will survey a variety of spectral geometry results that are known to hold in the context of hyperbolic manifolds and discuss the extent to which analogous results hold in the setting of spherical manifolds. We conclude with a number of open problems.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; ArgentinaFil: Linowitz, Benjamin. Oberlin College; Estados UnidosUniversidad Estatal de Nueva York2024-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/241288Lauret, Emilio Agustin; Linowitz, Benjamin; The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems; Universidad Estatal de Nueva York; New York Journal of Mathematics; 30; 5-2024; 682-7211076-9803CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://nyjm.albany.edu/j/2024/30-31.htmlinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-29T11:45:44Zoai:ri.conicet.gov.ar:11336/241288instacron: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:34982025-10-29 11:45:45.225CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems
title The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems
spellingShingle The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems
Lauret, Emilio Agustin
LENS SPACES
ISOSPECTRALITY
SPHERICAL SPACE FORMS
SPHERICAL ORBIFOLDS
title_short The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems
title_full The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems
title_fullStr The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems
title_full_unstemmed The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems
title_sort The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems
dc.creator.none.fl_str_mv Lauret, Emilio Agustin
Linowitz, Benjamin
author Lauret, Emilio Agustin
author_facet Lauret, Emilio Agustin
Linowitz, Benjamin
author_role author
author2 Linowitz, Benjamin
author2_role author
dc.subject.none.fl_str_mv LENS SPACES
ISOSPECTRALITY
SPHERICAL SPACE FORMS
SPHERICAL ORBIFOLDS
topic LENS SPACES
ISOSPECTRALITY
SPHERICAL SPACE FORMS
SPHERICAL ORBIFOLDS
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 spectral geometry of negatively curved manifolds has received more attention than its positive curvature counterpart. In this paper we will survey a variety of spectral geometry results that are known to hold in the context of hyperbolic manifolds and discuss the extent to which analogous results hold in the setting of spherical manifolds. We conclude with a number of open problems.
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
Fil: Linowitz, Benjamin. Oberlin College; Estados Unidos
description The spectral geometry of negatively curved manifolds has received more attention than its positive curvature counterpart. In this paper we will survey a variety of spectral geometry results that are known to hold in the context of hyperbolic manifolds and discuss the extent to which analogous results hold in the setting of spherical manifolds. We conclude with a number of open problems.
publishDate 2024
dc.date.none.fl_str_mv 2024-05
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/11336/241288
Lauret, Emilio Agustin; Linowitz, Benjamin; The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems; Universidad Estatal de Nueva York; New York Journal of Mathematics; 30; 5-2024; 682-721
1076-9803
CONICET Digital
CONICET
url http://hdl.handle.net/11336/241288
identifier_str_mv Lauret, Emilio Agustin; Linowitz, Benjamin; The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems; Universidad Estatal de Nueva York; New York Journal of Mathematics; 30; 5-2024; 682-721
1076-9803
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://nyjm.albany.edu/j/2024/30-31.html
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
application/pdf
dc.publisher.none.fl_str_mv Universidad Estatal de Nueva York
publisher.none.fl_str_mv Universidad Estatal de Nueva York
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 13.10058

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