On Some Inequalities for Submanifolds of Bochner-Kaehler Manifolds

被引：0

作者：

Lone, Mehraj Ahmad ^{[1
]}

Jamali, Mohammed ^{[2
]}

Shahid, Mohammad Hasan ^{[3
]}

机构：

[1] Cent Univ Jammu, Dept Math, Jammu 180011, India

[2] Al Falah Univ, Dept Math, Faridabad 121004, Haryana, India

[3] Jamia Millia Islamia, Dept Math, New Delhi 110025, India

来源：

FILOMAT | 2017年 / 31卷 / 18期

关键词：

Bochner-Kaehler manifold; CR-warped product; slant submanifolds; Einstein manifold; Chen inequality; PRODUCT CR-SUBMANIFOLDS; SPACE-FORMS; GEOMETRY;

D O I：

10.2298/FIL1718511L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Chen established sharp inequalities between certain Riemannian invariants and the squared norm of mean curvature for submanifolds in real space form as well as in complex space form. In this paper we generalize Chen inequalities for submanifolds of Bochner-Kaehler manifolds. Moreover, we study CR-warped product submanifolds of Bochner-Kaehler manifold and establish an inequality for the Laplacian of the warping function, from which we conclude some obstructions to the existence of such immersions.

引用

页码：5511 / 5523

页数：13

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