Spectral transformation of constant mean curvature surfaces in H3 and Weierstrass representation

• 作 者: CHEN Qing(陈卿) CHENG Yi(程艺)
• 机 构: DepartmentofMathematics
• 出 处: 中国科学：数学英文版
• 发表日期: 2002年8期
• 关键词: HYPERBOLIC space mean curvature SPECTRAL transformation WEIERSTRASS represent
• 基金项目: This work was supported by the National Natural Science Foundation of China (Grant No. 1071084) and the National Basic Research Project for Nonlinear Science.

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 cur