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.
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.
