Results 61 to 70 of about 353 (136)
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 +3 more
core +1 more source
The topology of balls and Gromov hyperbolicity of Riemann surfaces [PDF]
, 2004 19 pages, no figures.-- MSC2000 codes: 30F20, 30F45, 53C23.MR#: MR2091367 (2005e:53057)Zbl#: Zbl 1070.30019We prove that every ball in any non-exceptional Riemann surface with radius less or equal than $\frac 1 2\log 3$ is either simply or doubly ...
Tourís, Eva +4 more
core +1 more source
A Gromov Hyperbolic metric and Möbius transformations
, 2020 We compare a Gromov hyperbolic metric with the hyperbolic metric in the unit ball or in the upper half space, and prove sharp comparison inequalities between the Gromov hyperbolic metric and some hyperbolic type metrics. We also obtain several sharp distortion inequalities for the Gromov hyperbolic metric under some families of Möbius transformations.
Xu, Xiaoxue, Wang, Gendi, Zhang, Xiaohui
openaire +2 more sources
An obstruction to the strong relative hyperbolicity of a group
, 2006 We give a simple combinatorial criterion for a group that, when satisfied, implies the group cannot be strongly relatively hyperbolic. Our criterion applies to several classes of groups, such as surface mapping class groups, Torelli groups, and ...
Javier Aramayona +5 more
core +1 more source
Relatively dominated representations from eigenvalue gaps and limit maps. [PDF]
Geom Dedic, 2023 Zhu F.
europepmc +1 more source
, 2016 We propose the metric notion of strong hyperbolicity as a way of obtaining hyperbolicity with sharp additional properties. Specifically, strongly hyperbolic spaces are Gromov hyperbolic spaces that are metrically well-behaved at infinity, and, under weak
Spakula, Jan, Nica, Bogdan
core +1 more source
Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative. [PDF]
Probab Theory Relat Fields, 2022 Aoun R, Sert C.
europepmc +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
Null Distance and Convergence of Lorentzian Length Spaces. [PDF]
Ann Henri Poincare, 2022 Kunzinger M, Steinbauer R.
europepmc +1 more source
Coboundary expansion and Gromov hyperbolicity
Groups, Geometry, and DynamicsWe 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 ...
Dawid Kielak, Piotr W. Nowak
openaire +2 more sources