QUARTER SYMMETRIC NON-METRIC CONNECTION ON A (k, μ)−CONTACT METRIC MANIFOLD

R.P.S Yadav; B Prasad

doi:10.56827/SEAJMMS.2023.1902.27

R.P.S Yadav Department of Mathematics, S. M. M. Town P. G. College, Ballia - 277001, Uttar Pradesh, INDIA
B Prasad Department of Mathematics, S. M. M. Town P. G. College, Ballia - 277001, Uttar Pradesh, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2023.1902.27

Keywords: (k, μ)−contact metric manifold, quarter symmetric non-metric connection, Curvature tensor, symmetric and skew-symmetric and nearly Ricci recurrent.

Abstract

The object of the present paper is to introduce a new type of quarter symmetric non-metric connection on a (k, μ)−contact metric manifold and study some properties of quarter symmetric non-metric connection on a (k, μ)−contact metric manifold. Further, we obtain some properties of nearly Ricci recurrent on a (k, μ)−contact metric manifold with respect to quarter symmetric non-metric connection. Finally, we present an example to verify our result.