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DARBOUX EQUATIONS AND ISOMETRIC EMBEDDING OF RIEMANNIAN MANIFOLDS WITH NONNEGATIVE CURVATURE IN R 被引量:3

DARBOUXEQUATIONS AND ISOMETRIC EMBEDDING OF RIEMANNIAN MANIFOLDS WITHNONNEGATIVE CURVATURE INR
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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 R^3 are constructed.
作者 HONG JIAXING
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1999年第2期123-136,共14页 数学年刊(B辑英文版)
关键词 Darboux equation Isometric embedding Riemannian manifold Nonnegative curvature 达步方程 黎曼几何 非负曲率 等距嵌入
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