Pointed $k$-surfaces

DOI10.24033/bsmf.2521zbMath1138.53051arXivmath/0506233OpenAlexW2962829547WikidataQ125924193 ScholiaQ125924193MaRDI QIDQ5438396

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Publication date: 23 January 2008

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

Full work available at URL: https://arxiv.org/abs/math/0506233

zbMATH Keywords

hyperbolic spaceGaussian curvaturePlateau problempseudo-holomorphic curvesimmersed hypersurfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Teichmüller theory for Riemann surfaces (30F60) Pseudoholomorphic curves (32Q65)

Related Items (6)

Möbius Structures, Hyperbolic Ends and k-Surfaces in Hyperbolic Space ⋮ Special Lagrangian curvature ⋮ On the asymptotic geometry of finite-type \(k\)-surfaces in three-dimensional hyperbolic space ⋮ On monotonicity of F-blowup sequences ⋮ On an Enneper-Weierstrass-type representation of constant Gaussian curvature surfaces in 3-dimensional hyperbolic space ⋮ Hyperbolic Plateau problems

Cites Work

• Unnamed Item
• Manifolds of nonpositive curvature
• Foliated Plateau problem. I: Minimal varieties
• Holomorphic curves in symplectic geometry
• On the existence of convex hypersurfaces of constant Gauss curvature in hyperbolic space
• Monge-Ampère problems, holomorphic curves and laminations
• A Morse lemma for convex surfaces

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