DARBOUX EQUATIONS AND ISOMETRIC EMBEDDING OF RIEMANNIAN MANIFOLDS WITH NONNEGATIVE CURVATURE IN R

被引：0

作者：

HONG JIAXING

机构：

来源：

ChineseAnnalsofMathematics | 1999年 / 02期

关键词：

Darboux equation; Isometric embedding; Riemannian manifold; Nonnegative curvature;

D O I：

暂无

中图分类号：

O175.25 [椭圆型方程]; O175.29 [非线性偏微分方程];

学科分类号：

070104 ;

摘要：

The present paper is concerned with the existence of golbal smooth solutions for the homogeneous Dirichlet boundary value problem of the Darboux equation and the case degenerate onthe boundary is contained As some applications the smooth isometric embeddings of positivelyand nonnegatively curved disks into R3 are constructed.

引用

页码：123 / 136

页数：14

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