Special Lagrangian curvature

DOI10.1007/s00208-011-0773-xzbMath1271.53059arXivmath/0506230OpenAlexW1983935792WikidataQ125912515 ScholiaQ125912515MaRDI QIDQ1934299

Yanyan Li

Publication date: 28 January 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506230

zbMATH Keywords

compactnessGaussian curvaturespecial Lagrangian curvaturespecial Legendrian structures

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Calibrations and calibrated geometries (53C38)

Related Items (9)

On the second boundary value problem for special Lagrangian curvature potential equation ⋮ The Perron method and the non-linear Plateau problem ⋮ The Plateau problem for convex curvature functions ⋮ Clifford structures, bilegendrian surfaces, and extrinsic curvature ⋮ Degree Theory of Immersed Hypersurfaces ⋮ Pseudoconvexity for the special Lagrangian potential equation ⋮ 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

Cites Work

• Unnamed Item
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• Compactness for immersions of prescribed Gaussian curvature. II: Geometric aspects
• Compactness results for immersions of prescribed Gaussian curvature. I: Analytic aspects
• Interior curvature bounds for a class of curvature equations
• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• An Arzela-Ascoli theorem for immersed submanifolds
• Equivariant Plateau problems
• Hypersurfaces of constant curvature in hyperbolic space. I
• Calibrated geometries
• Locally convex hypersurfaces of prescribed curvature and boundary
• Monge-Ampère problems, holomorphic curves and laminations
• A Bernstein problem for special Lagrangian equations
• A Morse lemma for convex surfaces
• The existence of hypersurfaces of constant Gauss curvature with prescribed boundary.
• A Bernstein theorem for special Lagrangian graphs
• A Bernstein type result for special Lagrangian submanifolds
• Longtime existence of the Lagrangian mean curvature flow
• Hyperbolic Plateau problems
• On the improper convex affine hyperspheres
• Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
• Immersions with bounded curvature
• The moduli space of special Lagrangian submanifolds
• On locally convex hypersurfaces with boundary
• Corrigenda to: Introduction to Symplectic Topology
• The non-linear Plateau problem in non-positively curved manifolds
• Pointed $k$-surfaces

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