On the infinitesimal isometric deformations of submanifolds

被引：0
|
作者：
Chen, XY
Yang, WM
机构：
[1] Chongqing Inst Ind & Management, Chongqing 630050, Peoples R China
[2] Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 1997年 / 17卷 / 04期
关键词：
infinitesimal isometric deformation; mean curvature; Gauss-Kronecker curvature; sectional curvature;
D O I：
10.1016/S0252-9602(17)30858-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the infinitesimal I- and Il-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 E-3 Go the submanifolds immersed in a space form of constant curvature.
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页码：392 / 404
页数：13
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