RICCI SOLITON IN AN (epsilon)-PARA-SASAKIAN MANIFOLD ADMITTING CONHARMONIC CURVATURE TENSOR

Abstract

Abstract. The object of the present paper is to investigate Ricci soliton in an ()-para-Sasakian manifold admitting conharmonic curvature tensor satisfying the conditions <(ζ, G1).H = 0, S(ζ, G1).H = 0, P(ζ, G1).H = 0 and H(ζ, G1).P = 0. Under these conditions taking ζ as space-like or time-like vector field, it is shown that Ricci soliton is expanding, steady and shrinking according as Θ > 0, Θ = 0 and Θ < 0, respectively. Finally, we have given an example of an ()-para-Sasakian manifold.