4 papers · 1 filter
Volume functions and boundary data of 3-dimensional hyperbolic manifolds
Jean-Marc Schlenker
We review recent progress on two closely related sets of questions concerning convex co-compact hyperbolic manifolds, or convex domains in those manifolds, such as their convex cor…
Projective rigidity of circle patterns and polyhedral surfaces in hyperbolic ends
Jean-Marc Schlenker
Let be a closed, orientable surface of genus . We consider Delaunay circle patterns on equipped with a complex projective structure. We prove that the space of com…
Rigidity of anti-de Sitter (2+1)-spacetimes with convex boundary near the Fuchsian locus
Roman Prosanov, Jean-Marc Schlenker
We prove that globally hyperbolic compact anti-de Sitter (2+1)-spacetimes with strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to…
Convex co-compact hyperbolic manifolds are determined by their pleating lamination
Bruno Dular, Jean-Marc Schlenker
Convex co-compact 3-dimensional hyperbolic manifolds are uniquely determined by the pleating measured lamination on the boundary of their convex core.