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

2009/12/01 by Graham Smith, Smith, Graham
Mathematics · #35J25 #35J60 #53A10 #53C21 #53C42 #58E12 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:35J25 #msc:35J60 #msc:53A10 #msc:53C21 #msc:53C42 #msc:58E12

paper · pdf · doi:10.48550/arxiv.0912.0248

New title. Previously, "Constant Gaussian Curvature Hypersurfaces in Hadamard Manifolds". Mistakes corrected. Introduction revised to reflect recent developments in the field

openalex publication_date 2009/12/01 · arxiv created 2011/09/15 · arxiv updated 2011/09/16 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

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

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