Results 31 to 40 of about 17,194 (132)
A characterization of Gromov hyperbolicity of surfaces with variable negative curvature [PDF]
, 2009 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 +3 more
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On the integral simplicial volume of cyclic covers of mapping tori
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an n$n$‐dimensional torus. By studying the integral filling volume—an invariant introduced by Frigerio and the first author—for the monodromy, we establish both lower and upper ...
Federica Bertolotti +1 more
wiley +1 more source
Free semigroups of large critical exponent
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
wiley +1 more source
Gromov Hyperbolicity, John Spaces, and Quasihyperbolic Geodesics
The Journal of Geometric Analysis, 2022 We show that every quasihyperbolic geodesic in a John space admitting a roughly starlike Gromov hyperbolic quasihyperbolization is a cone arc. This result provides a new approach to the elementary metric geometry question, formulated in \cite[Question 2]{Hei89}, which has been studied by Gehring, Hag, Martio and Heinonen. As an application, we obtain a
Qingshan Zhou, Yaxiang Li, Antti Rasila
openaire +3 more sources
Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley +1 more source
Gromov hyperbolicity of pseudo-convex Levi corank one domains [PDF]
, 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
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Recent results on hyperbolicity on unitary operators on graphs [PDF]
Discrete Mathematics Letters, 2023 Jesús A. Méndez +3 more
doaj +1 more source
Gromov-hyperbolicity of strictly pseudoconvex domains and applications [PDF]
, 2023 The reason of interest for this thesis is to investigate bounded strictly pseudoconvex domains with C^2−smooth boundary, that is domains Ω ⊂ C^n which admit a strictly plurisubharmonic defining function of class C^2.
Gavelli, Giacomo
core
Apollonian metric, uniformity and Gromov hyperbolicity [PDF]
, 2022 The main purpose of this paper is to investigate the properties of a mapping which is required to be roughly bilipschitz with respect to the Apollonian metric (roughly Apollonian bilipschitz) of its domain.
Zhou QS, Vuorinen M, Li YX
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Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We give a formula with explicit constants relating the subsurface projection dY(ν−,ν+)$d_Y(\nu ^-,\nu ^+)$ of the end invariants ν−,ν+$\nu ^-,\nu ^+$ of a hyperbolic 3‐manifold Q$Q$ diffeomorphic to S×R$S\times \mathbb {R}$ and the length of the geodesic representative in Q$Q$ of the multicurve ∂Y$\partial Y$.
Gabriele Viaggi
wiley +1 more source