Nicolas Tholozan

activity

20132026

most citedThe geometry of maximal representations of surface groups into SO(2,n)

39 citations · 78 across the 18 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.GT2015★ 8 cited

Volume and non-existence of compact Clifford-Klein forms

Nicolas Tholozan

This article studies the volume of compact quotients of reductive homogeneous spaces. Let $G / H$ be a reductive homogeneous space and $Γ$ a discrete subgroup of $G$ acting properly…

math.GT2015★ 9 cited

The Volume of complete anti-de Sitter 3-manifolds

Nicolas Tholozan

Up to a finite cover, closed anti-de Sitter $3$ -manifolds are quotients of $SO_{0} (2, 1)$ by a discrete subgroup of $SO_{0} (2, 1) \times SO_{0} (2, 1)$ of the form…

math.MG2015★ 13 cited

Entropy of Hilbert metrics and length spectrum of Hitchin representations in $PSL (3, R)$

Nicolas Tholozan

We prove a sharp inequality between the Blaschke and Hilbert distance on a proper convex domain: for any two points $x$ and $y$ , \[d^B(x,y) < d^H(x,y) +1.\] We obtain two interesti…

Volume and non-existence of compact Clifford-Klein forms

The Volume of complete anti-de Sitter 3-manifolds

Entropy of Hilbert metrics and length spectrum of Hitchin representations in PSL(3,R)

Entropy of Hilbert metrics and length spectrum of Hitchin representations in $PSL (3, R)$