Hyperbolic manifolds with convex boundary

DOI10.1007/s00222-005-0456-xzbMath1091.53019arXivmath/0205305OpenAlexW3100018223MaRDI QIDQ811853

Jean-Marc Schlenker

Publication date: 23 January 2006

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205305

zbMATH Keywords

hyperbolic manifoldhyperbolic metricconvex boundary

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (20)

Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces ⋮ Andreev's theorem on hyperbolic polyhedra ⋮ Hyperbolization of cusps with convex boundary ⋮ Notes on a paper of Mess ⋮ Compact domains with prescribed convex boundary metrics in quasi-Fuchsian manifolds ⋮ A note on invariant constant curvature immersions in Minkowski space ⋮ The infimum of the dual volume of convex cocompact hyperbolic 3-manifolds ⋮ Clifford structures, bilegendrian surfaces, and extrinsic curvature ⋮ On the asymptotic geometry of finite-type \(k\)-surfaces in three-dimensional hyperbolic space ⋮ Bending invariants of poly-circles. I: Rigidity ⋮ The convex core of quasifuchsian manifolds with particles ⋮ Polyhedral metrics on the boundaries of convex compact quasi-Fuchsian manifolds ⋮ Polyhedral hyperbolic metrics on surfaces ⋮ Fuchsian polyhedra in Lorentzian space-forms ⋮ Hyperbolic cusps with convex polyhedral boundary ⋮ The induced metric on the boundary of the convex hull of a quasicircle in hyperbolic and anti-de Sitter geometry ⋮ Gauss images of hyperbolic cusps with convex polyhedral boundary ⋮ Projective background of the infinitesimal rigidity of frameworks ⋮ Boundary rigidity of convex cocompact real hyperbolic manifolds ⋮ The dual volume of quasi-Fuchsian manifolds and the Weil-Petersson distance

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