Journal of Prime Research in Mathematics

# 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

### 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.