Publication:
A characterization of Gromov hyperbolicity of surfaces with variable negative curvature

Simple item page
dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorPortilla, Ana
dc.contributor.authorTourís, Eva
dc.date.accessioned2010-01-15T11:39:01Z
dc.date.available2010-01-15T11:39:01Z
dc.date.issued2009
dc.description18 pages, 4 figures.-- MSC2000 codes: 53C15, 53C21, 53C22, 53C23.
dc.descriptionMR#: MR2474116 (2009k:53091)
dc.descriptionZbl#: Zbl 1153.53320
dc.description.abstractIn this paper we show that, in order to check Gromov hyperbolicity of any surface with curvature $K \leq -k^2 < 0$, 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.
dc.description.sponsorshipResearch partially supported by three grants from M.E.C. (MTM 2006-13000-C03-02, MTM 2006-11976 and MTM 2006-26627-E), and a grant from U.C.IIIM./C.A.M. (CCG07-UC3M/ESP-3339), Spain.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPublicacions Matemàtiques, 2009, vol. 53, n. 1, p. 83-110
dc.identifier.issn0214-1493
dc.identifier.urihttps://hdl.handle.net/10016/6445
dc.language.isoeng
dc.publisherUniversitat Autònoma de Barcelona, Departament de Matemàtiques
dc.relation.publisherversionhttp://www.mat.uab.es/pubmat/volums/navegador/volum_id:87#
dc.rights© Universitat Autònoma de Barcelona
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherGromov hyperbolicity
dc.subject.otherRiemannian surface
dc.subject.otherNegatively curved Riemannian surface
dc.titleA characterization of Gromov hyperbolicity of surfaces with variable negative curvature
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
characterization_touris_pm_2009_ps.pdf
Size:
255.67 KB
Format:
Adobe Portable Document Format
Description:
postprint version
Download
Collections
DM - GAMA - Artículos de Revistas