Abstract

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.

Keywords and Phrases

$(k,\mu)-$contact metric manifold, quarter symmetric non-metric connection, Curvature tensor, symmetric and skew-symmetric and nearly Ricci recurrent.

A.M.S. subject classification

53C25, 53D15.

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