12 citations · 21 across the 7 of their papers we have counts for
7 papers
Minimal surfaces with negative curvature in large dimensional spheres
Michele Ancona, François Labourie, Anna Roig-Sanchis +1
In this note, we answer positively a question of Yau by proving the existence of closed minimal surfaces with negative induced curvature in any sphere of large dimension. The proof…
Positivity, cross-ratios and the Collar Lemma
Jonas Beyrer, Olivier Guichard, François Labourie +2
We prove that -positive representations of fundamental groups of surfaces (possibly cusped or of infinite type) satisfy a collar lemma, and their associated cross-ratios are pos…
On Tholozan's volume formula for closed anti-de-Sitter 3-manifolds
François Labourie
We give a Chern-Simons based proof of Tholozan's volume formula for closed anti-de-Sitter 3-manifolds.
Asymptotic counting of minimal surfaces in hyperbolic manifolds [according to Calegari, Marques and Neves]
François Labourie
A report on an article of Calegari, Marques and Neves about counting minimal surfaces. An idea of a proof is included using the concept of a laminar measure.
Surface groups in uniform lattices of some semi-simple groups
Jeremy Kahn, François Labourie, Shahar Mozes
We show that uniform lattices in some semi-simple groups (notably complex ones) admit Anosov surface subgroups. This result has a quantitative version: we introduce a notion, calle…
Well displacing representations and orbit maps
Thomas Delzant, Olivier Guichard, François Labourie +1
We discuss in this article a property of action of groups by isometries called "well displacing". An action is said to be well displacing, if the displacement function is equivalen…