3维单位球面中保主曲率的曲面的变形(英文)

DEFORMATION OF SURFACES PRESERVING PRINCIPAL CURVATURES IN A 3-DIMENSION UNIT SPHERE

在[1]中,陈省身大师讨论了欧氏空间 E^3保主曲率的曲面的变形,本文,考虑了维单位球面 S^3中相同的问题,并给出了分类定理。

The isometric deformation surfaces preserving the principalcurvatures in the Euclidean space E^3 was studied by Shing-shern Chern.Here,we consider in the 3-dim.unit sphere S^3,and given the classifytheorem.