H^3中平均曲率为1的曲面的形变(英文)  

Deformations of Constant Mean Curvature One Surface in H^3

作　　者：何晨旭[1] 吴英毅[1] 陈卿[1] 

机构地区：[1]中国科学技术大学数学系,安徽合肥230026

出　　处：《中国科学技术大学学报》2004年第1期11-19,共9页JUSTC

基　　金：TheprojcetsupportedbyNNSFC

摘　　要：定义了双曲空间H3 中平均曲率为常数 1的曲面的两类形变 :T 形变与U 形变 .讨论了形变后曲面的完备性和存在性 .Two classes of deformations, T and U deformations are defined on the constant mean curvature one surfaces in hyperbolic three space H 3, and the completeness and existence of these deformation surfaces are discussed. The sufficient and necessary conditions of the existence on a non simply connected Riemannian surface of these deformation surfaces are given by using Weierstrass data.

关 键 词：T-形变 U-形变 常平均曲率 双曲空间 

分 类 号：O186.16[理学—数学]