Compactness of Alexandrov-Nirenberg Surfaces

被引：5
作者：
Han, Qing [1 ,2 ]
Hong, Jiaxing [3 ]
Huang, Genggeng [3 ]
机构：
[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA
[2] Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China
[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2017年 / 70卷 / 09期
基金：
美国国家科学基金会; 中国国家自然科学基金;
关键词：
DIMENSIONAL RIEMANNIAN-MANIFOLDS; GAUSSIAN CURVATURE; R3;
D O I：
10.1002/cpa.21686
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a class of compact surfaces in R-3 introduced by Alexandrov and generalized by Nirenberg and prove a compactness result under suitable assumptions on induced metrics and Gauss curvatures. (c) 2017 Wiley Periodicals, Inc.
引用
收藏
页码：1706 / 1753
页数：48
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