Results 51 to 60 of about 353 (136)
A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
, 2021 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, Portilla, Ana
core
Connectivity of the space of ending laminations [PDF]
, 2009 We prove that for any closed surface of genus at least four, and any punctured surface of genus at least two, the space of ending laminations is connected. A theorem of E.
Leininger, Christopher J. +1 more
core +1 more source
Coxeter's enumeration of Coxeter groups
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley +1 more source
The geometry of the disk complex [PDF]
, 2013 We give a distance estimate for the disk complex. We use the distance estimate to prove that the disk complex is Gromov hyperbolic. As another application of our techniques, we find an algorithm which computes the Hempel distance of a Heegaard splitting,
Schleimer, Saul, Masur, Howard
core +1 more source
Combination theorems for Wise's power alternative
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen +2 more
wiley +1 more source
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
Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space
Proceedings of the London Mathematical Society, Volume 132, Issue 1, January 2026.Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
wiley +1 more source
Gromov hyperbolicity of pseudo-convex Levi corank one domains
, 2022 After a study of the Kobayashi metrics on certain scaled domains, we show the stabilities of the infinitesimal Kobayashi metrics and the integrated distances in different scaling processes.
Zhang, Ben
core
Quasi-geodesic segments and Gromov hyperbolic spaces [PDF]
, 1996 It is known that for a geodesic metric space hyperbolicity in the sense of Gromov implies geodesic stability. In this paper it is shown that the converse is also true.
Bonk, Mario
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 +2 more
openaire +3 more sources