Results 21 to 30 of about 17,964 (136)
A real variable characterization of Gromov hyperbolicity of flute surfaces [PDF]
, 2008 23 pages, 1 figure.-- MSC2000 codes: 41A10, 46E35, 46G10.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0093Previously presented as Communication at International Congress of Mathematicians 2006 (ICM2006, Madrid, Spain, Aug 22-30, 2006 ...
Tourís, Eva +2 more
core +2 more sources
Computing the Gromov hyperbolicity of a discrete metric space [PDF]
, 2015 We give exact and approximation algorithms for computing the Gromov hyperbolicity of an n-point discrete metric space. We observe that computing the Gromov hyperbolicity from a fixed base-point reduces to a (max,min) matrix product. Hence, using the (max,
Vigneron, Antoine E. +6 more
core +1 more source
Potential Theory on Gromov Hyperbolic Spaces
Analysis and Geometry in Metric Spaces, 2022 Abstract Gromov hyperbolic spaces have become an essential concept in geometry, topology and group theory. Herewe extend Ancona’s potential theory on Gromov hyperbolic manifolds and graphs of bounded geometry to a large class of Schrödinger operators on Gromov hyperbolic metric measure spaces, unifying these settings in a common ...
Kemper, M. (Matthias) +1 more
openaire +4 more sources
Gromov-hyperbolicity of strictly pseudoconvex domains and applications [PDF]
, 2023 The reason of interest for this thesis is to investigate bounded strictly pseudoconvex domains with C^2−smooth boundary, that is domains Ω ⊂ C^n which admit a strictly plurisubharmonic defining function of class C^2.
Gavelli, Giacomo
core
Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics [PDF]
Complex Variables and Elliptic Equations, 2009 In this article, we investigate the Gromov hyperbolicity of Denjoy domains equipped with the hyperbolic or the quasihyperbolic metric. The focus are on comparative or decomposition results, which allow us to reduce the question of whether a given domain is Gromov hyperbolic to a series of questions concerning simpler domains.
Hästö, Peter +3 more
openaire +2 more sources
Area of ideal triangles and Gromov hyperbolicity in Hilbert Geometry [PDF]
, 2008 International audienceWe prove, in the context of Hilbert geometry, the equivalence between the existence of an upper bound on the area of ideal triangles and the Gromov ...
Colbois, Bruno +2 more
core +1 more source
A characterization of Gromov hyperbolicity of surfaces with variable negative curvature [PDF]
, 2009 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,
Tourís, Eva +3 more
core +2 more sources
Apollonian metric, uniformity and Gromov hyperbolicity [PDF]
, 2022 The main purpose of this paper is to investigate the properties of a mapping which is required to be roughly bilipschitz with respect to the Apollonian metric (roughly Apollonian bilipschitz) of its domain.
Zhou QS, Vuorinen M, Li YX
core +1 more source
Computing the Gromov hyperbolicity constant of a discrete metric space [PDF]
, 2012 Although it was invented by Mikhail Gromov, in 1987, to describe some family of groups[1], the notion of Gromov hyperbolicity has many applications and interpretations in different fields.
Ismail, Anas
core +1 more source
Study of the Gromov hyperbolicity constant on graphs [PDF]
, 2022 The concept of Gromov hyperbolicity grasps the essence of negatively curved spaces like the classical hyperbolic space and Riemannian manifolds of negative sectional curvature.
Reyes Guillermo, Rosalío
core +1 more source