On the normal scalar curvature conjecture in Kenmotsu statistical manifolds

被引：8

作者：

Bansal, Pooja ^{[1
]}

Uddin, Siraj ^{[2
]}

Shahid, Mohammad Hasan ^{[1
]}

机构：

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

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

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2019年 / 142卷

关键词：

DDVV conjecture; Wintgen inequality; Normal scalar curvature; Statistical manifold; Kenmotsu statistical manifold; Dual connections; GENERALIZED WINTGEN INEQUALITY; SUBMANIFOLDS;

D O I：

10.1016/j.geomphys.2019.03.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove DDVV conjecture (the generalized Wintgen inequality) for statistical submanifolds of Kenmotsu statistical manifolds of constant phi-sectional curvature. Further, we give some applications of derived inequality. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：37 / 46

页数：10