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

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, we have also derived generalized normalized Casorati curvature inequalities for the same submanifolds.