3 citations · 8 across the 13 of their papers we have counts for
16 papers
An explicit exotic representation of a rank-one simple Lie group via convex bodies
François Fillastre, Yusen Long, David Xu
In [DP12], Delzant and Py showed that there exist continuous irreducible isometric actions of on the infinite-dimensional hyperbolic space $\mathbb{H}^…
A remark on one-harmonic maps from a Hadamard surface of pinched negative curvature to the hyperbolic plane
François Fillastre, Andrea Seppi
We show that every one-harmonic map, in the sense of Trapani and Valli, from a Hadamard surface of pinched negative curvature to has image the interior of the convex…
An introduction to Reshetnyak's theory of subharmonic distances
François Fillastre
The aim of the present text is to provide some basics around Reshetnyak's theory of subharmonic distances, together with an overview of the main results. This text is intended to b…
Hyperbolic geometry of shapes of convex bodies
Clément Debin, François Fillastre
We use the intrinsic area to define a distance on the space of homothety classes of convex bodies in the -dimensional Euclidean space, which makes it isometric to a convex subse…
Quasi-Fuchsian co-Minkowski manifolds
Thierry Barbot, François Fillastre
This survey is an introduction to the geometry of co-Minkowksi space, the space of unoriented spacelike hyperplanes of the Minkowski space. Affine deformations of cocompact lattice…
A short elementary proof of reversed Brunn--Minkowski inequality for coconvex bodies
François Fillastre
The theory of coconvex bodies was formalized by A.~Khovanski{\uı} and V.~Timorin in \cite{KT}. It has fascinating relations with the classical theory of convex bodies, as well as a…