Compactness of Alexandrov-Nirenberg Surfaces

2014/02/11 by Qing Han, Qing‐Long Han, Han, Qing +4
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #math.AP #math.DG

paper · pdf · doi:10.48550/arxiv.1402.2388

arxiv created 2014/02/11 · openalex publication_date 2014/02/11 · arxiv updated 2014/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a class of compact surfaces in \mathbb R³ introduced by Alexandrov and generalized by Nirenberg and prove a compactness result under suitable assumptions on induced metrics and Gauss curvatures.

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