【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 .论本文利用Weierstrass组给出了定义在非单连通Riemann面上这些形变后曲面存在的充分必要条件更多还原

【Abstract】 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.更多还原