Spectral transformation of constant mean curvature surfaces in H^3 and Weierstrass representation

作     者：陈卿 程艺 

作者机构：Department of Mathematics University of Science and Technology of China Hefei China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2002年第45卷第8期

页      面：1066-1075页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This work was supported by the National Natural Science Foundation of China (Grant No. 1071084) the National Basic Research Project for Nonlinear Science 

主　　题：hyperbolic space, mean curvature, spectral transformation, Weierstrass representation formula. 

摘      要：By using the method of integrable system, we study the deformation of constant mean curvature surfaces in three-dimensional hyperbolic space form H3. We also obtain a Weierstrass representation formula of the constant mean curvature surfaces with mean curvature greater than 1.