94 citations · 605 across the 65 of their papers we have counts for
71 papers
Gromov-Thurston manifolds and anti-de Sitter geometry
Daniel Monclair, Jean-Marc Schlenker, Nicolas Tholozan
We consider hyperbolic and anti-de Sitter (AdS) structures on , where is a -dimensional Gromov-Thurston manifold. If has cone angles greater than , we…
The geometric data on the boundary of convex subsets of hyperbolic manifolds
Qiyu Chen, Jean-Marc Schlenker
Let be a geodesically convex subset in a convex co-compact hyperbolic manifold with incompressible boundary. We assume that each boundary component of is either a bound…
No Ensemble Averaging Below the Black Hole Threshold
Jean-Marc Schlenker, Edward Witten
In the AdS/CFT correspondence, amplitudes associated to connected bulk manifolds with disconnected boundaries have presented a longstanding mystery. A possible interpretation is th…
The Weyl problem for unbounded convex domains in $\HH^3$
Jean-Marc Schlenker
Let $K\subset \HH^3$ be a convex subset in $\HH^3$ with smooth, strictly convex boundary. The induced metric on then has curvature . It was proved by Alexandrov…
A hyperbolic proof of Pascal's Theorem
Miguel Acosta, Jean-Marc Schlenker
We provide a simple proof of Pascal's Theorem on cyclic hexagons, as well as a generalization by Möbius, using hyperbolic geometry.
On the Weyl problem for complete surfaces in the hyperbolic and anti-de Sitter spaces
Jean-Marc Schlenker
The classical Weyl problem (solved by Lewy, Alexandrov, Pogorelov, and others) asks whether any metric of curvature on the sphere is induced on the boundary of a unique c…