On the normal scalar curvature conjecture in Kenmotsu statistical manifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:142

Article

Bansal, Pooja¹  Uddin, Siraj²  Shahid, Mohammad Hasan¹ 

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

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

关键词: DDVV conjecture;    Wintgen inequality;    Normal scalar curvature;    Statistical manifold;    Kenmotsu statistical manifold;    Dual connections;   

DOI  :  10.1016/j.geomphys.2019.03.012

来源: Elsevier

【 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.

【 授权许可】

Free