On the normal scalar curvature conjecture in Kenmotsu statistical manifolds

Pooja Bansal; Siraj Uddin; Mohammad Hasan Shahid

doi:10.1016/j.geomphys.2019.03.012

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On the normal scalar curvature conjecture in Kenmotsu statistical manifolds

Journal article

Peer reviewed

On the normal scalar curvature conjecture in Kenmotsu statistical manifolds

Pooja Bansal, Siraj Uddin and Mohammad Hasan Shahid

Journal of geometry and physics, Vol.142, pp.37-46

08/2019

DOI: https://doi.org/10.1016/j.geomphys.2019.03.012

Abstract

DDVV conjecture

Dual connections

Kenmotsu statistical manifold

Normal scalar curvature

Statistical manifold

Wintgen inequality

In this paper, we prove DDVV conjecture (the generalized Wintgen inequality) for statistical submanifolds of Kenmotsu statistical manifolds of constant φ-sectional curvature. Further, we give some applications of derived inequality.

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Title: On the normal scalar curvature conjecture in Kenmotsu statistical manifolds
Creators - without role: Pooja Bansal - Jamia Millia Islamia
Siraj Uddin - King Abdulaziz University
Mohammad Hasan Shahid - Jamia Millia Islamia
Publication Details: Journal of geometry and physics, Vol.142, pp.37-46
Publisher: Elsevier B.V
Identifiers: 9938088508331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article