Results 31 to 40 of about 17,964 (136)

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
core   +1 more source

Optimal bounds for the Kobayashi distance near C2$\mathcal {C}^2$‐smooth boundary points

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract It is shown that the optimal upper and lower bounds for the Kobayashi distance near C2,α$\mathcal {C}^{2,\alpha }$‐smooth strongly pseudoconvex boundary points obtained in Kosiński, Nikolov, and Ökten [Adv. Math. 478 (2025), 110388] remain true in the general C2$\mathcal {C}^2$‐smooth strongly pseudoconvex setting.
Nikolai Nikolov, Pascal J. Thomas
wiley   +1 more source

Teichmuller Space is Not Gromov Hyperbolic

, 1994
We prove that the Teichmuller Space of Riemann Surfaces of genus g>1, equipped with the Teichmuller metric, is not a Gromov Hyperbolic space.
Masur, Howard A., Wolf, Michael
openaire   +4 more sources

The diagonal dimension of sub‐C∗$\mathrm{C}^*$‐algebras

Proceedings of the London Mathematical Society, Volume 133, Issue 4, October 2026.
Abstract We introduce diagonal dimension, a version of nuclear dimension for diagonal sub-C∗$\text{sub-}\mathrm{C}^*$‐algebras (sometimes also referred to as diagonal C∗$\mathrm{C}^*$‐pairs). Our concept has good permanence properties and detects more refined information than nuclear dimension.
Kang Li, Hung‐Chang Liao, Wilhelm Winter   +2 more
wiley   +1 more source

Uniformization of cofat domains on metric two‐spheres

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We extend Schramm's cofat uniformization theorem to cofat domains on upper Ahlfors 2‐regular metric two‐spheres X$X$. Specifically, we show that if Ω⊂X$\Omega \subset X$ is a cofat domain, then there exists a π2$\frac{\pi }{2}$‐quasiconformal homeomorphism f:Ω→D$f: \Omega \rightarrow D$ onto a circle domain D⊂S2$D \subset \mathbb {S}^2 ...
Chengxi Li, Kai Rajala
wiley   +1 more source

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, Ervin Hadžiosmanović   +1 more
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

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

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

Effective length‐projection bounds for hyperbolic 3‐manifolds diffeomorphic to S×R$S\times \mathbb {R}$

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