A General Inequality for Pointwise Semi-Slant Warped Products in Nearly Kenmotsu Manifolds

被引：0

作者：

Uddin, Siraj ^{[1
]}

Altalhi, Ashwaq ^{[1
]}

Alluhaibi, Nadia ^{[2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[2] King Abdulaziz Univ, Sci & Arts Coll, Dept Math, Rabigh Campus, Jeddah 21911, Saudi Arabia

来源：

FILOMAT | 2022年 / 36卷 / 01期

关键词：

warped products; slant; pointwise semi-slant submanifolds; nearly Kenmotsu manifolds; KAEHLER MANIFOLDS; CR-SUBMANIFOLDS; GEOMETRY;

D O I：

10.2298/FIL2201221U

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that every pointwise semi-slant warped product submanifold M = N-T X-f N-theta in a nearly Kenmotsu manifold (M) over tilde satisfies the following inequality: parallel to h parallel to(2) >= 2n(2) (1 + 10/9 cot(2) theta) (parallel to(del) over cap (ln f)parallel to(2) - 1) , where n(2) = dim N-theta, (del) over cap (In f) is the gradient of In f and parallel to h parallel to is the length of the second fundamental form of M. The equality and special cases of the inequality are investigated.

引用

页码：221 / 229

页数：9

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