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math.MG2017
Weakly Inscribed Polyhedra
Hao Chen, Jean-Marc Schlenker
We study convex polyhedra in with all their vertices on a sphere. We do not require, in particular, that the polyhedra lie in the interior of the sphere, h…
math.GT2017★ 8 cited
Notes on the Schwarzian tensor and measured foliations at infinity of quasifuchsian manifolds
Jean-Marc Schlenker
The boundary at infinity of a quasifuchsian hyperbolic manifold is equiped with a holomorphic quadratic differential. Its horizontal measured foliation can be interpreted as th…
math.DG2017★ 2 cited
Hyperbolic ends with particles and grafting on singular surfaces
Qiyu Chen, Jean-Marc Schlenker
We prove that any hyperbolic end with particles (cone singularities along infinite curves of angles less than ) admits a unique foliation by constant Gauss curvature surfaces. U…