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20092026
most citedOn asymptotically harmonic manifolds of negative curvature

43 citations · 139 across the 17 of their papers we have counts for

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8 papers · 1 filter

math.MG2026

CAT(0) spaces quasi-isometric to Euclidean spaces

Nicola Cavallucci, Andrea Sambusetti

We show that if a proper, geodesically complete, CAT(0) homology manifold is quasi-isometric to the Euclidean space R^n then it is homeomorphic to R^n. On the other hand, we show t…

math.MG2024

Convergence and collapsing of CAT-lattices

Nicola Cavallucci, Andrea Sambusetti

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

math.MG2022

Thin actions on CAT(0) spaces

Nicola Cavallucci, Andrea Sambusetti

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

math.MG2021★ 7 cited

Discrete groups of packed, non-positively curved, Gromov hyperbolic metric spaces

Nicola Cavallucci, Andrea Sambusetti

We prove a quantitative version of the classical Tits' alternative for discrete groups acting on packed Gromov-hyperbolic spaces supporting a convex geodesic bicombing. Some geomet…

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.MG2017

Entropy and finiteness of groups with acylindrical splittings

Filippo Cerocchi, Andrea Sambusetti

We prove that there exists a positive, explicit function such that, for any group admitting a -acylindrical splitting and any generating set of with $\math…

math.MG2017★ 4 cited

Local topological rigidity of non-geometric -manifolds

Filippo Cerocchi, Andrea Sambusetti

We study Riemannian metrics on compact, torsionless, non-geometric -manifolds, i.e. whose interior does not support any of the eight model geometries. We prove a lower bound "à…

math.MG2015★ 3 cited

Quantitative Bounded Distance Theorem and Margulis' Lemma for Z^n actions with applications to homology

Filippo Cerocchi, Andrea Sambusetti

We consider the stable norm associated to a discrete, torsionless abelian group of isometries of a geodesic space . We show that the difference between…