On Casorati Curvatures of Submanifolds in Pointwise Kenmotsu Space Forms

被引：8
|
作者：
Lone, Mehraj Ahmad [1 ]
Shahid, Mohammad Hasan [2 ]
Vilcu, Gabriel-Eduard [3 ,4 ]
机构：
[1] Natl Inst Technol Srinagar, Dept Math, Hazratbal 190006, Jammu & Kashmir, India
[2] Jamia Millia Islamia, Dept Math, New Delhi 110025, India
[3] Petr Gas Univ Ploiesti, Fac Econ Sci, Bd Bucuresti 39, Ploiesti 100680, Romania
[4] Univ Bucharest, Res Ctr Geometry Topol & Algebra, Fac Math & Comp Sci, Str Acad 14,Sect 1, Bucharest 70109, Romania
来源：
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2019年 / 22卷 / 01期
关键词：
Scalar curvature; Mean curvature; Generalized normalized delta-Casorati curvature; Kenmotsu space form; Submanifold; WARPED PRODUCT SUBMANIFOLDS; SEMI-SLANT SUBMANIFOLDS; LAGRANGIAN SUBMANIFOLDS; INEQUALITIES; GEOMETRY;
D O I：
10.1007/s11040-018-9297-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain a lower bound for the generalized normalized -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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页数：14
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