Ricci Curvature of Certain Submanifolds in Kenmotsu Space Forms

被引:0
作者
Liu Jianyu and Liu Ximin Department of MathematicsLinyi Normal UniversityLinyiShandong Department of MathematicsSouth China University of TechnologyGuangzhou [1 ,2 ,1 ,276005 ,2 ,510640 ]
机构
关键词
Kenmotsu space form; Ricci curvature; k-Ricci curvature; bi-slant sub-manifold; semi-slant submanifold;
D O I
10.13447/j.1674-5647.2009.04.006
中图分类号
O186.1 [微分几何];
学科分类号
0701 ; 070101 ;
摘要
In this paper,we obtain some sharp inequalities between the Ricci curvature and the squared mean curvature for bi-slant and semi-slant submanifolds in Kenmotsu space forms.Estimates of the scalar curvature and the k-Ricci curvature, in terms of the squared mean curvature,are also proved respectively.
引用
收藏
页码:340 / 348
页数:9
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A class of almost contact Riemannian manifolds[J] . Katsuei Kenmotsu.Tohoku Mathematical Journal . 1972 (1)