Results 11 to 20 of about 581 (37)
, 2015 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
Nica, Bogdan, Spakula, Jan
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A flat plane that is not the limit of periodic flat planes
, 2003 We construct a compact nonpositively curved squared 2-complex whose universal cover contains a flat plane that is not the limit of periodic flat planes.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/
Bridson +6 more
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Conformal dimension on boundary of right-angled hyperbolic buildings [PDF]
, 2016 In this note, we use some combinatorial modulus on the boundary of a right-angled hyperbolic building to control its conformal dimension.
Clais, Antoine
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Stable Higgs bundles over positive principal elliptic fibrations
, 2018 Let $M$ be a compact complex manifold of dimension at least three and $\Pi : M\rightarrow X$ a positive principal elliptic fibration, where $X$ is a compact K\"ahler orbifold. Fix a preferred Hermitian metric on $M$.
Biswas, Indranil +2 more
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Separable subgroups have bounded packing
, 2011 In this note, we prove that separable subgroups have bounded packing in ambient groups. The notion bounded packing was introduced by Hruska and Wise and in particular, our result answers positively a question of theirs, asking whether each subgroup of a ...
Yang, Wen-yuan
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Uniform undistortion from barycentres, and applications to hierarchically hyperbolic groups
Analysis and Geometry in Metric SpacesWe show that infinite cyclic subgroups of groups acting uniformly properly on injective metric spaces are uniformly undistorted. In the special case of hierarchically hyperbolic groups, we use this to study translation lengths for actions on the ...
Abbott Carolyn +3 more
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Forum of Mathematics, SigmaWe compare the marked length spectra of some pairs of proper and cocompact cubical actions of a nonvirtually cyclic group on $\mathrm {CAT}(0)$ cube complexes.
Stephen Cantrell, Eduardo Reyes
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On homeomorphisms and quasi-isometries of the real line [PDF]
, 2006 We show that the group of all pl-homeomorphisms of the reals having bounded slopes surjects on the group $QI({\Bbb R})$ of all quasi-isometries of ${\Bbb R}$.
Sankaran, Parameswaran
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Hyperbolic Metric Spaces and Stochastic Embeddings
Forum of Mathematics, SigmaStochastic embeddings of finite metric spaces into graph-theoretic trees have proven to be a vital tool for constructing approximation algorithms in theoretical computer science.
Chris Gartland
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One-relator groups with torsion are conjugacy separable
, 2012 We prove that one-relator groups with torsion are hereditarily conjugacy separable. Our argument is based on a combination of recent results of Dani Wise and the first author.
Minasyan, Ashot, Zalesskii, Pavel
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