ON GENERALIZED QUASI-CONFORMAL N(k, μ)-MANIFOLDS

Abstract

The object of the present paper is to introduce a new curvature tensor, named generalized quasi-conformal curvature tensor which bridges conformal curvature tensor, concircular curvature tensor, projective curvature tensor and conharmonic curvature tensor. Flatness and symmetric properties of generalized quasi-conformal curvature tensor are studied in the frame of (k, <TEX>${\mu}$</TEX>)-contact metric manifolds.