Global Isometric Embedding of Surfaces in R3

被引：0
|
作者：
Han, Qing [1 ,2 ]
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
来源：
DIFFERENTIAL GEOMETRY AND CONTINUUM MECHANICS | 2015年 / 137卷
关键词：
CURVATURE CHANGING SIGN; DIMENSIONAL RIEMANNIAN-MANIFOLDS; GAUSSIAN CURVATURE; R3;
D O I：
10.1007/978-3-319-18573-6_2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we give a short survey on the global isometric embedding of surfaces (2-dimensional Riemannian manifolds) in R-3. We will present associated partial differential equations for the isometric embedding and discuss their solvability. We will illustrate the important role of Gauss curvature in solving these equations.
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页码：29 / 47
页数：19
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