Geometry of Pointwise Semi-slant Warped Products in Locally Conformal Kaehler Manifolds

被引:2
|
作者
Alghamdi, Fatimah [1 ]
Chen, Bang-Yen [2 ]
Uddin, Siraj [3 ]
机构
[1] Jeddah Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[2] Michigan State Univ, Dept Math, 619 Red Cedar Rd, E Lansing, MI 48824 USA
[3] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
关键词
Warped products; CR-warped product; pointwise semi-slant warped products; locally conformal Kaehler manifold; Chen inequality; CR-SUBMANIFOLDS;
D O I
10.1007/s00025-021-01511-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the geometry of pointwise semi-slant warped products in a locally conformal Kaehler manifold. In particular, we obtain several results which extend Chen's inequality for CR-warped product submanifolds in Kaehler manifolds. Also, we study the corresponding equality cases. Several related results on pointwise semi-slant warped products are also proved in this paper.
引用
收藏
页数:25
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