Hyperbolization of cusps with convex boundary
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Publication:309275
DOI10.1007/s00229-015-0814-yzbMath1350.57018arXiv1505.04412OpenAlexW2964315700MaRDI QIDQ309275
François Fillastre, Ivan Izmestiev, Giona Veronelli
Publication date: 7 September 2016
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.04412
General geometric structures on low-dimensional manifolds (57M50) Spherical and hyperbolic convexity (52A55)
Related Items (4)
Embeddings of non-positively curved compact surfaces in flat Lorentzian manifolds ⋮ Compact domains with prescribed convex boundary metrics in quasi-Fuchsian manifolds ⋮ REALIZING METRICS OF CURVATURE ON CLOSED SURFACES IN FUCHSIAN ANTI-DE SITTER MANIFOLDS ⋮ Boundary structure of convex sets in the hyperbolic space
Cites Work
- Polyhedral metrics on the boundaries of convex compact quasi-Fuchsian manifolds
- An optimal lower curvature bound for convex hypersurfaces in Riemannian manifolds
- Hyperbolic manifolds with convex boundary
- Alexandrov's theorem, weighted Delaunay triangulations, and mixed volumes
- Hyperbolic cusps with convex polyhedral boundary
- A variational proof of Alexandrov's convex cap theorem
- Hypersurfaces of constant curvature in hyperbolic space. I
- Prescribed metrics on the boundary of hyperbolic manifolds of dimension 3
- On the existence of convex hypersurfaces of constant Gauss curvature in hyperbolic space
- Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces
- Infinitesimal rigidity of smooth convex surfaces through the second derivative of the Hilbert–Einstein functional
- Foundations of Hyperbolic Manifolds
- Partial Differential Relations
- A.D. Alexandrov spaces with curvature bounded below
- Variational Analysis
- The Weyl Problem With Nonnegative Gauss Curvature In Hyperbolic Space
- Moderate smoothness of most Alexandrov surfaces
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