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

Smith, Graham

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

By Graham Smith

Abstract

We extend recent results of Guan and Spruck, proving existence results for constant Gaussian curvature hypersurfaces in Hadamard manifolds.Comment: New title. Previously, "Constant Gaussian Curvature Hypersurfaces in Hadamard Manifolds". Mistakes corrected. Introduction revised to reflect recent developments in the fiel

Topics: Mathematics - Differential Geometry, 58E12, 35J25, 35J60, 53A10, 53C21, 53C42

Year: 2011

OAI identifier: oai:arXiv.org:0912.0248

Provided by: arXiv.org e-Print Archive

Downloaded from http://arxiv.org/abs/0912.0248

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

Abstract

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