R4(C)中平均曲率方向平行的Bonnet曲面

Bonnet Surface with Parallel Mean Curvature Direction in R4(C)

中文关键词:  平均曲率  Bonnet曲面  半测地等温参数

英文关键词:mean curvature  Bonnet surface  semi-geodesic isothermal parameter

中文摘要:

      本文利用[5]的方法,对R⁴(C)中平均曲率方向平行的Bonnet曲面引入了半测地等温 参数,并给出了一个分类结果.

英文摘要:

      In this paper, we study the Bonnet surfaces in the 4-dim space forms, which admit an isometric deformation preserving the mean curvature function. When the mean curvature direction is parallel, we first parameterize the Bonnet surfaces in R⁴(C) by semi-geodesic isothermal parameters, and then obtain a classification result which generalizes some work in [5] by W.H.Chen and H.Z.Li.