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Št. zadetkov: 3
On the Gromov hyperbolicity of the minimal metric
Matteo Fiacchi
Izvirni znanstveni članek
Oznake: minimal surfaces;minimal metric;hyperbolic domain;Gromov hyperbolicity;convex domain;Hilbert metric;
In this paper we study the hyperbolicity in the sense of Gromov of domains in ▫$\mathbb{R}^d$▫ ▫$(d\geq3)$▫ with respect to the minimal metric introduced by Forstnerič and Kalaj. In particular, we prove that every bounded strongly minimally convex domain is Gromov hyperbolic and its Gromov compactif ...
Leto: 2024 Vir: Repozitorij Univerze v Ljubljani (RUL)
Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces
Lorenzo Guerini, Anders Karlsson, Leandro Arosio, Matteo Fiacchi
Izvirni znanstveni članek
Oznake: holomorphic dynamics;non-expanding maps;Gromov hyperbolicity;horofunctions;boundary fixed points;
We study the interplay between the backward dynamics of a non-expanding self-map ▫$f$▫ of a proper geodesic Gromov hyperbolic metric space ▫$X$▫ and the boundary regular fixed points of ▫$f$▫ in the Gromov boundary. To do so, we introduce the notion of stable dilation at a boundary regular fixed poi ...
Leto: 2024 Vir: Digitalni repozitorij raziskovalnih organizacij Slovenije
Worm domains are not Gromov hyperbolic
Leandro Arosio, Gian Maria Dall'Ara, Matteo Fiacchi
Izvirni znanstveni članek
Oznake: Worm domains;Gromov hyperbolicity;Kobayashi metric;scaling;
We show that Worm domains are not Gromov hyperbolic with respect to the Kobayashi distance.
Leto: 2023 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 3
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