Lorentzian α_Sasakian Manifolds Satisfying Certain Condition on the Concircular Curvature Tensor

Abstract

Authors Sunil Kumar Srivastava and Vibhawari Srivastava Abstract TIn this paper we have shown that Lorentzian α−Sasakian manifold are Einstein manifold if they satisfy the condition R(X, Y ).S = 0, C(ξ, X).S = 0, C(ξ, X).C = 0, C(ξ, X).R = 0, R.C = R.R and ϕ^2 ((DXQ)(Y )) = 0. Keywords and Phrases … Continue reading "Lorentzian α−Sasakian Manifolds Satisfying Certain Condition on the Concircular Curvature Tensor"