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

Abstract

In this paper, the authors has established the famous geometric inequalities of Chen for the submanifolds in quaternionic Kaehler manifolds. Other than these inequalities, generalized normalized Casorati curvature inequalities have also been derived. The submanifolds are characterized by Ricci Quater-symmetric metric connection.