Ricci curvature of submanifolds in Sasakian space forms

被引:37
|
作者
Mihai, I [1 ]
机构
[1] Univ Bucharest, Fac Math, Bucharest 70109, Romania
关键词
Ricci curvature; mean curvature; Sasakian space form; C-totally real submanifold; contact CR-submanifold;
D O I
10.1017/S1446788700003888
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Recently, Chen established a sharp relationship between the Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension. Afterwards, we dealt with similar problems for submanifolds in complex space forms. In the present paper, we obtain sharp inequalities between the Ricci curvature and the squared mean curvature for submanifolds in Sasakian space forms. Also, estimates of the scalar curvature and the k-Ricci curvature respectively, in terms of the squared mean curvature, are proved.
引用
收藏
页码:247 / 256
页数:10
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