Search

The paper deals with the study of M-projective curvature tensor on (κ, μ)-contact metric manifolds. We classify non-Sasakian (κ, μ)-contact metric manifold satisfying the conditions R(ξ,X) ·M = 0 and M(ξ,X) · S = 0, where R and S are the Riemannian curvature tensor and the Ricci tensor, respectively. Finally, we prove that a (κ, μ)-contact metric manifold with vanishing extended M-projective curvature tensor Me is a Sasakian manifold. [ABSTRACT FROM AUTHOR]

The object of this paper is to study (k, µ)-para contact metric manifolds with qusi-conformal curvature tensor. It has been shown that, h-quasi conformally semi-symmetric and φ-quasi-conformally semi-symmetric (k, µ)-paracontact metric manifold with k ≠ - 1 cannot be an η-Einstein manifold. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to study generalized ϕ-recurrent Lorentzian α-Sasakian manifolds. [ABSTRACT FROM AUTHOR]

In this paper we study the conservative conformal curvature tensor and the conservative quasi-conformal curvature tensor on a trans-Sasakian manifold with respect to a semi-symmetric metric connection. It is shown that a trans-Sasakian manifold with conservative conformal curvature tensor is an Einstein manifold, and with quasi-conformal curvature tensor is an η-Einstein manifold. [ABSTRACT FROM AUTHOR]