A. Savini

activity

20152026

most citedSuperrigidity of maximal measurable cocycles of complex hyperbolic lattices

11 citations · 59 across the 31 of their papers we have counts for

collaborators

Showing 2020Show all

5 papers · 1 filter

math.GT2020

Entropy rigidity for foliations by strictly convex projective manifolds

Alessio Savini

Let $N$ be a compact manifold with a foliation $F_{N}$ whose leaves are compact strictly convex projective manifolds. Let $M$ be a compact manifold with a foliation $\maths…

math.GT2020

Boundary maps and reducibility for cocycles into the isometries of CAT(0)-spaces

Filippo Sarti, Alessio Savini

Let $Γ$ be a discrete countable group acting isometrically on a measurable field $X$ of CAT(0)-spaces of finite telescopic dimension over some ergodic standard Borel proba…

math.GT2020★ 6 cited

Algebraic hull of maximal measurable cocycles of surface groups into Hermitian Lie groups

Alessio Savini

Following the work of Burger, Iozzi and Wienhard for representations, in this paper we introduce the notion of maximal measurable cocycles of a surface group. More precisely, let $…

math.GT2020★ 4 cited

Integrable tautness of isometries of complex hyperbolic spaces

Alessio Savini

Consider $n \geq 2$ . In this paper we prove that the group $PU (n, 1)$ is $1$ -taut. This result concludes the study of $1$ -tautness of rank-one Lie groups of non-compact type.…

math.GT2020★ 11 cited

Superrigidity of maximal measurable cocycles of complex hyperbolic lattices

Filippo Sarti, Alessio Savini

Let $Γ$ be a torsion-free lattice of $PU (p, 1)$ with $p \geq 2$ and let $(X, μ_{X})$ be an ergodic standard Borel probability $Γ$ -space. We prove that any maximal Zariski dense…