数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (4): 392-404.
程新跃1, 杨文茂2
Chen Xinyue1, Yang Wenmao2
摘要: In this paper, we consider the infinitesimal Ⅰ-and Ⅱ-isometry deformations of submanifolds immersed in a space form N of constant curvature. We obtain some results which are new even in the case of N being the Euclidean space. At the same time, we generalize some classical results in E3 to the submanifolds immersed in a space form of constant curvature.