A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold

被引：2

作者：

Uddin, Siraj ^{[1
]}

Ullah, M. Z. ^{[1
]}

机构：

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

来源：

MATHEMATICS | 2020年 / 8卷 / 09期

关键词：

warped products; CR-slant warped product; nearly cosymplectic manifold; SUBMANIFOLDS;

D O I：

10.3390/math8091622

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the early 20th century, B.-Y. Chen introduced the concept of CR-warped products and obtained several fundamental results, such as inequality for the length of second fundamental form. In this paper, we obtain B.-Y. Chen's inequality for CR-slant warped products in nearly cosymplectic manifolds, which are the more general classes of manifolds. The equality case of this inequality is also investigated. Furthermore, the inequality is discussed for some important subclasses of CR-slant warped products.

引用

页数：11