A CHARACTERIZATION OF GROMOV HYPERBOLICITY OF SURFACES WITH VARIABLE NEGATIVE CURVATURE

被引：50

作者：

Portilla, Ana ^{[1
]}

Touris, Eva ^{[1
]}

机构：

[1] Univ Carlos III Madrid, Dept Matemat, Madrid 28911, Spain

来源：

PUBLICACIONS MATEMATIQUES | 2009年 / 53卷 / 01期

关键词：

Gromov hyperbolicity; Riemannian surface; negatively curved Riemannian surface; RIEMANN SURFACES; HARMONIC-FUNCTIONS; ROUGH ISOMETRIES; INFINITE TYPE; MANIFOLDS; SPACES; DECOMPOSITION; INEQUALITIES; METRICS; DOMAINS;

D O I：

10.5565/PUBLMAT_53109_04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we show that, in order to check Gromov hyperbolicity of any surface with curvature K <= -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.

引用

页码：83 / 110

页数：28

共 50 条

[41] Gromov Hyperbolicity of Regular Graphs
Carlos Hernandez-Gomez, J.
Rodriguez, Jose M.
Sigarreta, Jose M.
Torres-Nunez, Yadira
Villeta, Maria
ARS COMBINATORIA, 2017, 130 : 395 - 416
[42] Gromov Hyperbolicity of Periodic Graphs
Alicia Cantón
Ana Granados
Domingo Pestana
José M. Rodríguez
Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 89 - 116
[43] Gromov Hyperbolicity of Periodic Planar Graphs
Alicia CANTóN
Ana GRANADOS
Domingo PESTANA
José Manuel RODRíGUEZ
Acta Mathematica Sinica,English Series, 2014, (01) : 79 - 90
[44] Gromov Hyperbolicity in the Cartesian Sum of Graphs
Carballosa, W.
de la Cruz, A.
Rodriguez, J. M.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2018, 44 (03): : 837 - 856
[45] Gromov hyperbolicity through decomposition of metrics spaces II
Ana Portilla
José M. Rodríguez
Eva Tourís
The Journal of Geometric Analysis, 2004, 14 : 123 - 149
[46] Gromov hyperbolicity through decomposition of metrics spaces II
Portilla, A
Rodríguez, JM
Tourís, E
JOURNAL OF GEOMETRIC ANALYSIS, 2004, 14 (01) : 123 - 149
[47] Gromov Hyperbolicity in the Cartesian Sum of Graphs
W. Carballosa
A. de la Cruz
J. M. Rodríguez
Bulletin of the Iranian Mathematical Society, 2018, 44 : 837 - 856
[48] Bounds on Gromov hyperbolicity constant in graphs
JOSÉ M RODRÍGUEZ
JOSÉ M SIGARRETA
Proceedings - Mathematical Sciences, 2012, 122 : 53 - 65
[49] Subelliptic estimates from Gromov hyperbolicity
Zimmer, Andrew
ADVANCES IN MATHEMATICS, 2022, 402
[50] Gromov Hyperbolicity of Bounded Convex Domains
Zimmer, Andrew
METRICAL AND DYNAMICAL ASPECTS IN COMPLEX ANALYSIS, 2017, 2195 : 67 - 114

← 1 2 3 4 5 →