English

Compactness of Alexandrov-Nirenberg Surfaces

Differential Geometry 2014-02-12 v1 Analysis of PDEs

Abstract

We study a class of compact surfaces in R3\mathbb R^3 introduced by Alexandrov and generalized by Nirenberg and prove a compactness result under suitable assumptions on induced metrics and Gauss curvatures.

Keywords

Cite

@article{arxiv.1402.2388,
  title  = {Compactness of Alexandrov-Nirenberg Surfaces},
  author = {Qing Han and Jiaxing Hong and Genggeng Huang},
  journal= {arXiv preprint arXiv:1402.2388},
  year   = {2014}
}