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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

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