Results 21 to 30 of about 17,194 (132)
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
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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
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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
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Hyperbolic Unfoldings of Minimal Hypersurfaces
Analysis and Geometry in Metric Spaces, 2018 We study the intrinsic geometry of area minimizing hypersurfaces from a new point of view by relating this subject to quasiconformal geometry. Namely, for any such hypersurface H we define and construct a so-called S-structure.
Lohkamp Joachim
doaj +1 more source
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
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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
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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
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Teichmuller Space is Not Gromov Hyperbolic
, 1994 We prove that the Teichmuller Space of Riemann Surfaces of genus g>1, equipped with the Teichmuller metric, is not a Gromov Hyperbolic space.
Masur, Howard A., Wolf, Michael
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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
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Uniformization of cofat domains on metric two‐spheres
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract We extend Schramm's cofat uniformization theorem to cofat domains on upper Ahlfors 2‐regular metric two‐spheres X$X$. Specifically, we show that if Ω⊂X$\Omega \subset X$ is a cofat domain, then there exists a π2$\frac{\pi }{2}$‐quasiconformal homeomorphism f:Ω→D$f: \Omega \rightarrow D$ onto a circle domain D⊂S2$D \subset \mathbb {S}^2 ...
Chengxi Li, Kai Rajala
wiley +1 more source