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.

引用

页数：14

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