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

Authors

  • Mehraj Ahmad Lone National Institute of Technology Srinagar, J& K, India-190006.
  • Umair Ali Wani National Institute of Technology Srinagar, J& K, India-190006.

Keywords:

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

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.

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Published

2022-12-31

Issue

Vol. 18 No. 2 (2022): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

Chen and Casorati curvature inequalities for the submanifolds of quaternionic Kaehler manifolds endowed with Ricci quarter-symmetric metric connection. (2022). Journal of Prime Research in Mathematics, 18(2), 72 – 87. https://jprm.sms.edu.pk/index.php/jprm/article/view/198