A characterization of Gromov hyperbolicity of surfaces with variable negative curvature

In this paper we show that, in order to check Gromov hyperbolicity of any surface with curvature K≤ -k² < 0, we just need to verify the Rips condition on a very small class of triangles, namely, those contained in simple closed geodesics. This result is, in fact, a new characterization of Gromov...

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Detalhes bibliográficos
Autores: Portilla, Ana, Tourís, Eva
Formato: artículo
Fecha de publicación:2009
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:49603
Acesso em linha:https://ddd.uab.cat/record/49603
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53109_04
Access Level:acceso abierto
Palavra-chave:Gromov hyperbolicity
Riemannian surface
Negatively curved Riemannian surface
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spelling A characterization of Gromov hyperbolicity of surfaces with variable negative curvaturePortilla, AnaTourís, EvaGromov hyperbolicityRiemannian surfaceNegatively curved Riemannian surfaceIn this paper we show that, in order to check Gromov hyperbolicity of any surface with curvature K≤ -k² < 0, we just need to verify the Rips condition on a very small class of triangles, namely, those contained in simple closed geodesics. This result is, in fact, a new characterization of Gromov hyperbolicity for this kind of surfaces. 22009-01-0120092009-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/49603https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53109_04reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:496032026-06-06T12:50:31Z
dc.title.none.fl_str_mv A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
title A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
spellingShingle A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
Portilla, Ana
Gromov hyperbolicity
Riemannian surface
Negatively curved Riemannian surface
title_short A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
title_full A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
title_fullStr A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
title_full_unstemmed A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
title_sort A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
dc.creator.none.fl_str_mv Portilla, Ana
Tourís, Eva
author Portilla, Ana
author_facet Portilla, Ana
Tourís, Eva
author_role author
author2 Tourís, Eva
author2_role author
dc.subject.none.fl_str_mv Gromov hyperbolicity
Riemannian surface
Negatively curved Riemannian surface
topic Gromov hyperbolicity
Riemannian surface
Negatively curved Riemannian surface
description In this paper we show that, in order to check Gromov hyperbolicity of any surface with curvature K≤ -k² < 0, we just need to verify the Rips condition on a very small class of triangles, namely, those contained in simple closed geodesics. This result is, in fact, a new characterization of Gromov hyperbolicity for this kind of surfaces.
publishDate 2009
dc.date.none.fl_str_mv 2
2009-01-01
2009
2009-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
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https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53109_04
url https://ddd.uab.cat/record/49603
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53109_04
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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