Results 61 to 70 of about 17,964 (136)

Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
wiley   +1 more source

Uniformization of Intrinsic Gromov Hyperbolic Spaces

Computational Methods and Function Theory
The purpose of this paper is to provide a uniformization procedure for Gromov hyperbolic spaces, which need not be geodesic or proper. We prove that the conformal deformation of a Gromov hyperbolic space is a bounded uniform space. Further, we show that there is a natural quasi-isometry between the Gromov boundary and the metric boundary of the ...
Allu, Vasudevarao, Jose, Alan P
openaire   +2 more sources

Gromov (non-)hyperbolicity of certain domains in $\mathbb{C}^{n}$

, 2016
We prove the Gromov non-hyperbolicity with respect to the Kobayashi distance for C1,1-smooth convex domains in C2 which contain an analytic disc in the boundary or have a point of infinite type with rotation symmetry.
Nikolov, Nikolai, Trybula, Maria, Trybuła, Maria, Thomas, Pascal J.   +3 more
core   +1 more source

Uniformity from Gromov hyperbolicity

Illinois Journal of Mathematics, 2008
The authors show that, in a metric space \(X\) with annular convexity, the uniform domains are precisely those Gromov hyperbolic domains whose quasiconformal structure on the boundary agrees with that on the boundary of \(X\). As an application it is shown that quasi-Möbius maps between geodesic spaces with annular convexity preserve uniform domains ...
Herron, David, Shanmugalingam, Nageswari, Xie, Xiangdong   +2 more
openaire   +3 more sources

A characterization of hyperbolic spaces

, 2007
We show that a geodesic metric space, and in particular the Cayley graph of a finitely generated group, is hyperbolic in the sense of Gromov if and only if intersections of any two metric balls balls is itself "almost" a metric ball.
Chatterji, Indira, Niblo, Graham A.
core   +1 more source

Sharp estimates of the Kobayashi metric and Gromov hyperbolicity

, 2008
26 pages, 3 figures.Let D be a smooth relatively compact and strictly J-pseudoconvex domain in a four dimensional almost complex manifold (M,J). We give sharp estimates of the Kobayashi metric.
Florian Bertrand, Bertrand, Florian
core   +1 more source

Stability of Gromov hyperbolicity [PDF]

, 2009
20 pages, 1 figure.-- MSC2000 codes: 30F45; 53C23, 30C99.Zbl#: Zbl pre05652685A main problem when studying any mathematical property is to determine its stability, i.e., under what type of perturbations it is preserved.
Tourís, Eva, Rodríguez, José M., Portilla, Ana   +2 more
core   +2 more sources

A characterization of hyperbolic spaces

, 2006
We show that a geodesic metric space, and in particular the Cayley graph of a finitely generated group, is hyperbolic in the sense of Gromov if and only if intersections of any two metric balls balls is itself "almost" a metric ball.
Chatterji, Indira, Niblo, Graham A.
core  

Coboundary expansion and Gromov hyperbolicity

Groups, Geometry, and Dynamics
We prove that if a compact n -manifold admits a sequence of residual covers that form a coboundary expander in dimension  n-2 , then the manifold has Gromov ...
Kielak, Dawid, Nowak, Piotr W.
openaire   +2 more sources

Beyond hyperbolicity

, 2019
Contains expository articles and research papers in geometric group theory focusing on generalisations of Gromov ...
Hagen, Mark, Webb, Richard, Wilton, Henry   +2 more
core