Global Singularity Theory for the Gauss Curvature Equation

zbMath1334.53003arXiv1206.5544MaRDI QIDQ3456891

Unnamed Author

Publication date: 10 December 2015

Full work available at URL: https://arxiv.org/abs/1206.5544

zbMATH Keywords

Gaussian curvaturePlateau problemsingularity sets of weak solutions to the Plateau problem

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) General geometric structures on low-dimensional manifolds (57M50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Viscosity solutions to PDEs (35D40) Monge-Ampère equations (35J96)

Related Items (5)

Möbius Structures, Hyperbolic Ends and k-Surfaces in Hyperbolic Space ⋮ The Plateau problem for convex curvature functions ⋮ A Short Proof of an Assertion of Thurston Concerning Convex Hulls ⋮ Quasi-Fuchsian Co-Minkowski Manifolds ⋮ Surfaces of revolution with prescribed mean and skew curvatures in Lorentz-Minkowski space

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