Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2016; 53(4): 1237-1247

Printed July 31, 2016

https://doi.org/10.4134/BKMS.b150638

Copyright © The Korean Mathematical Society.

Certain semisymmetry properties of $(\kappa,\;\mu)$-contact metric manifolds

Uday Chand De, Jae-Bok Jun, and Srimayee Samui

35 Ballygunge Circular Road, Kookmin University, 13, Surya Sen street

Abstract

The object of the present paper is to characterize ($\kappa,\;\mu$)-contact metric manifolds whose concircular curvature tensor satisfies certain semisymmetry conditions. We also verify that the result holds by a concrete example.

Keywords: ($\kappa,\,\mu$)-contact metric manifolds, $N(\kappa)$-contact metric manifolds, concircular curvature tensor, $\eta$-Einstein manifolds

MSC numbers: 53C15, 53C25