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Compactness results for immersions of prescribed Gaussian curvature I - analytic aspects

Article ID Journal Published Year Pages File Type
6426000 Advances in Mathematics 2012 39 Pages PDF
Abstract

We extend recent results of Guan and Spruck, proving existence results for constant Gaussian curvature hypersurfaces in Hadamard manifolds.

Keywords
53C2135J2535J6058E1253A1053C42Plateau problemprimarysecondaryMonge–Ampère equationGaussian curvature
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Preview
Compactness results for immersions of prescribed Gaussian curvature I - analytic aspects
Authors
Graham Smith,
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Journal
Advances in Mathematics
Journal: Advances in Mathematics
Related Categories
53C21
35J25
35J60
58E12
53A10
53C42
Plateau problem
primary
secondary
Monge–Ampère equation
Gaussian curvature
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
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