Bulletin of the
Korean Mathematical Society
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ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. -0001; 31(1): 163-176

Printed November 30, -0001

Copyright © The Korean Mathematical Society.

On generalized quasi-conformal $N(k,\mu )$-manifolds

Kanak Kanti Baishya and Partha Roy Chowdhury

Darjeeling-734203, Siliguri, Darjeeling-734005

Abstract

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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