Hyperbolic cusps with convex polyhedral boundary

Article, Preprint, Other literature type English OPEN
Fillastre, François ; Izmestiev, Ivan (2007)
  • Publisher: Mathematical Sciences Publishers
  • Journal: (issn: 1465-3060)
  • Related identifiers: doi: 10.2140/gt.2009.13.457
  • Subject: infinitesimal rigidity | 57M50 (Geometric structures on low-dimensional manifolds), secondary: 53C24 | 57M50 | 53C24 | convex polyhedral boundary | hyperbolic cone-manifold | discrete total curvature | Mathematics - Differential Geometry | Hyperbolic cusp | 57M50 (Primary) 53C24 (Secondary) | Alexandrov's theorem | [ MATH.MATH-DG ] Mathematics [math]/Differential Geometry [math.DG] | discrete total scalar curvature
    arxiv: Mathematics::Differential Geometry | Mathematics::Geometric Topology

International audience; We prove that a 3-dimensional hyperbolic cusp with convex polyhedral boundary is uniquely determined by the metric induced on its boundary. Furthemore, any hyperbolic metric on the torus with cone singularities of positive curvature can be realiz... View more
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