Problème de Minkowski et surfaces à courbure constante dans les variétés hyperboliques

DOI10.24033/bsmf.2169zbMath0758.53030OpenAlexW2480798359MaRDI QIDQ3986549

François Labourie

Publication date: 27 June 1992

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1991__119_3_307_0

zbMATH Keywords

constant Gaussian curvatureconvex boundarycore of Nielsen

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (16)

Minimal surfaces and particles in 3-manifolds ⋮ A note on invariant constant curvature immersions in Minkowski space ⋮ On the asymptotic Plateau problem in hyperbolic space ⋮ On the topology of closed manifolds with quasi-constant sectional curvature ⋮ Minimizing immersions of a hyperbolic surface in a hyperbolic 3-manifold ⋮ The infimum of the dual volume of convex cocompact hyperbolic 3-manifolds ⋮ A cyclic extension of the earthquake flow. I ⋮ Moduli of flat conformal structures of hyperbolic type ⋮ Hausdorff dimension of non-conical limit sets ⋮ Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes. Application to the Minkowski problem in the Minkowski space ⋮ Skinning bounds along thick rays ⋮ Constant curvature foliations in asymptotically hyperbolic spaces ⋮ Asymptotically Poincaré surfaces in quasi-Fuchsian manifolds ⋮ The induced metric on the boundary of the convex hull of a quasicircle in hyperbolic and anti-de Sitter geometry ⋮ The dual volume of quasi-Fuchsian manifolds and the Weil-Petersson distance ⋮ Hyperbolic Plateau problems

Cites Work

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• Pseudo holomorphic curves in symplectic manifolds
• Immersions isométriques elliptiques et courbes pseudo-holomorphes. (Elliptic isometric immersions and pseudo-holomorphic curves)
• Riemannian structures of prescribed Gaussian curvature for compact 2- manifolds
• Plongements radiaux $S\sp n\hookrightarrow {R}\sp {n+1}$ à courbure de Gauss positive prescrite
• The inverse function theorem of Nash and Moser
• Surfaces Convexes Dans L'espace Hyperbolique et CP ¹ Structures
• Hypersurfaces in IRⁿ⁺¹with prescribed gaussian curvature and related equations of monge—ampére type
• The Weyl and Minkowski problems in differential geometry in the large

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