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math.DG2024
Convex surfaces with prescribed induced metrics in anti-de Sitter spacetimes
Qiyu Chen, Jean-Marc Schlenker
Let be a closed surface of genus at least , let be a smooth metric of curvature on , and let be a hyperbolic metric on . We show that there exists a u…
math.DG2024
Filling Riemann surfaces by hyperbolic Schottky manifolds of negative volume
Tommaso Cremaschi, Viola Giovannini, Jean-Marc Schlenker
We provide conditions under which a Riemann surface is the asymptotic boundary of a convex co-compact hyperbolic manifold, homeomorphic to a handlebody, of negative renormalize…
math.GT2024
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.