QUARTER SYMMETRIC NON-METRIC CONNECTION ON A \textbf{$(k,\mu)-$}CONTACT METRIC MANIFOLD

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