Chen and Casorati curvature inequalities for the submanifolds of quaternionic Kaehler manifolds endowed with Ricci quarter-symmetric metric connection

Mehraj Ahmad Lone\(^a\), Umair Ali Wani\(^{a,*}\)

\(^a\) National Institute of Technology Srinagar, J& K, India-190006.

Correspondence should be addressed to: mehrajlone@nitsri.ac.in

Copyright © 2022 Mehraj Ahmad Lone,Umair Ali Wani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Published: Received: 08 January 2021; Accepted: 08 September 2022; Published Online: 13 October 2022.

Abstract

In this paper, authors have established Chen’s inequalities for the submanifolds of quaternionic Kaehler manifolds characterized by Ricci quarter-symmetric metric connection. Other than these inequalities, generalized normalized Casorati curvature inequalities have been derived.

Keywords:

Chen Inequalities, Ricci quarter-symmetric metric connection, Casorati curvature, quaternionic Kaehler manifolds.