On Casorati Curvatures of Submanifolds in Pointwise Kenmotsu Space Forms

被引：0
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作者：
Mehraj Ahmad Lone
Mohammad Hasan Shahid
Gabriel-Eduard Vîlcu
机构：
[1] National Institute of Technology Srinagar,Department of Mathematics
[2] Jamia Millia Islamia University,Department of Mathematics
[3] Petroleum-Gas University of Ploieşti,Faculty of Economic Sciences
[4] University of Bucharest,Faculty of Mathematics and Computer Science, Research Center in Geometry, Topology and Algebra
来源：
Mathematical Physics, Analysis and Geometry | 2019年 / 22卷
关键词：
Scalar curvature; Mean curvature; Generalized normalized ; -Casorati curvature; Kenmotsu space form; Submanifold; 53C15; 53C25; 53C40; 53C80;
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摘要：
In this paper, we obtain a lower bound for the generalized normalized δ-Casorati curvatures of submanifolds in pointwise Kenmotsu space forms, generalizing two sharp inequalities recently obtained by Lee et al. (Adv. Geom. 2017(3), 355–362, 21) Moreover, we prove that this lower bound is attained at a point p if and only if p is a totally geodesic point. Some examples illustrating the main results of the paper are also given.
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