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Ricci curvature inequalities for warped product skew CR-submanifolds in Cosymplectic space forms

and

1Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

* Corresponding Author: Meraj A. Khan. Email:

Annals of Communications in Mathematics 2021, 4 (2), 89-105. https://doi.org/10.62072/acm.2021.040201

Received: 02 April 2021 |

Accepted: 25 June 2021 |

Published: 30 September 2021

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Abstract

The main objective of this paper is to achieve the Chen-Ricci inequality for skew CR-warped product submanifold isometrically immersed in a Cosymplectic space form in the expressions of the squared norm of mean curvature vector and warping functions. The equality cases is likewise discussed. However, in particular, we also derive Chen-Ricci inequality for CR-warped product submanifolds.

Keywords

Cosymplectic space form; CR-warped product submanifolds; Ricci curvature; semi slant warped product submanifolds; skew CR-warped product submanifolds

Cite This Article

Abdul Latif Al-balawi, Ayaed Al-Waqmi, Meraj A. Khan, Mugrin Bin Abdullah, Talal Al-Rashidi.

Ricci curvature inequalities for warped product skew CR-submanifolds in Cosymplectic space forms.

Annals of Communications in Mathematics

2021,

4 (2):

89-105.

https://doi.org/10.62072/acm.2021.040201

Copyright © 2021 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).