Abstract
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.
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