Andrea Sambusetti

activity

20172024

collaborators

5 papers

math.MG2024

Convergence and collapsing of CAT $(0)$ -lattices

Nicola Cavallucci, Andrea Sambusetti

We study the theory of convergence for CAT $(0)$ -lattices (that is groups $Γ$ acting geometrically on proper, geodesically complete CAT $(0)$ -spaces) and their quotients (CAT $(0)$ -or…

math.MG2022

Thin actions on CAT(0) spaces

Nicola Cavallucci, Andrea Sambusetti

We study groups of isometries of packed, geodesically complete, CAT $(0)$ -spaces for which the systole at every point is smaller than a universal constant depending only on the pack…

math.GR2021

Finiteness Theorems for Gromov-Hyperbolic Spaces and Groups

Gérard Besson, Gilles Courtois, Sylvestre Gallot +1

In this article we prove that the set of torsion-free groups acting by isometries on a hyperbolic metric space whose entropy is bounded above and with a compact quotient is finite.…

math.MG2020

Packing and doubling in metric spaces with curvature bounded above

Nicola Cavallucci, Andrea Sambusetti

We study locally compact, locally geodesically complete, locally CAT(k) spaces (GCBA(k)-spaces). We prove a Croke-type local volume estimate only depending on the dimension of thes…

math.DG2017

Entropy Rigidity of negatively curved manifolds of finite volume

M. Peigne, A. Sambusetti

We prove the following entropy-rigidity result in finite volume: if $X$ is a negatively curved manifold with curvature $- b^{2} \leq K_{X} \leq - 1$ , then $E n t_{t o p} (X) = n - 1$ if and only…

Convergence and collapsing of CAT(0)-lattices

Thin actions on CAT(0) spaces

Finiteness Theorems for Gromov-Hyperbolic Spaces and Groups

Packing and doubling in metric spaces with curvature bounded above

Entropy Rigidity of negatively curved manifolds of finite volume

Convergence and collapsing of CAT $(0)$ -lattices