Moduli of flat conformal structures of hyperbolic type

DOI10.1007/s10711-010-9567-7zbMath1231.53012arXiv0804.0744OpenAlexW2168014143MaRDI QIDQ639974

Juan-Miguel Gracia

Publication date: 11 October 2011

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0744

zbMATH Keywords

developing map of FCSflat conformal structureMöbius manifoldsspecial Lagrangian curvature

Mathematics Subject Classification ID

Related Items (8)

Möbius Structures, Hyperbolic Ends and k-Surfaces in Hyperbolic Space ⋮ The Plateau problem for convex curvature functions ⋮ On the topology of closed manifolds with quasi-constant sectional curvature ⋮ Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes. Application to the Minkowski problem in the Minkowski space ⋮ Compactness results for immersions of prescribed Gaussian curvature. I: Analytic aspects ⋮ Constant scalar curvature hypersurfaces in \((3 + 1)\)-dimensional GHMC Minkowski spacetimes ⋮ The non-linear Plateau problem in non-positively curved manifolds ⋮ Hyperbolic Plateau problems

Cites Work

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• The existence of hypersurfaces of constant Gauss curvature with prescribed boundary.
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• Conformally Flat Manifolds whose Development Maps are not Surjective. I
• Problème de Minkowski et surfaces à courbure constante dans les variétés hyperboliques
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