Another Class of Warped Product Skew CR-Submanifolds of Kenmotsu Manifolds

被引:6
|
作者
Hui, Shyamal Kumar [1 ]
Pal, Tanumoy [1 ]
Roy, Joydeb [1 ]
机构
[1] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India
关键词
Warped product; skew CR-submanifolds; Kenmotsu manifolds; PSEUDO-SLANT SUBMANIFOLDS; GEOMETRY;
D O I
10.2298/FIL1909583H
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Recently, Naghi et al. [32] studied warped product skew CR-submanifold of the form M-1 x(f) M-perpendicular to of order 1 of a Kenmotsu manifold (M) over bar such that M-1 = M-T x M-theta, where M-T, M-perpendicular to and M-theta are invariant, anti-invariant and proper slant submanifolds of (M) over bar. The present paper deals with the study of warped product submanifolds by interchanging the two factors M-T and M-perpendicular to, i.e, the warped products of the form M-2 x(f) M-T such that M-2 = M-perpendicular to x M-theta. The existence of such warped product is ensured by an example and then we characterize such warped product submanifold. A lower bound of the squared norm of second fundamental form is derived with sharp relation, whose equality case is also considered.
引用
收藏
页码:2583 / 2600
页数:18
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