Bull. Korean Math. Soc. -0001; 31(1): 163-176
Printed November 30, -0001
Copyright © The Korean Mathematical Society.
Kanak Kanti Baishya and Partha Roy Chowdhury
Darjeeling-734203, Siliguri, Darjeeling-734005
The object of the present paper is to introduce a new curvature tensor, named \textit{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 \textit{generalized quasi-conformal curvature tensor} are studied in the frame of $(k,\mu )$-contact metric manifolds.
Keywords: generalized quasi-conformal curvature tensor, $N(k,\mu )$-manifold, $\eta $-Einstein, semi-symmetric, Ricci semi-symmetric
MSC numbers: 53C15, 53C25
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