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The object of the present paper is to generalize conformal curvature tensor of LP-Sasakian manifold with the help of a new generalized (0, 2) symmetric tensor Z introduced by Mantica and Suh [7]. Various geometric properties of the generalized conformal curvature tensor of LP-Sasakian manifold have been studied. It is shown that a generalized conformally ϕ-Symmetric LP-Sasakian manifold is an η-Einstein manifold. [ABSTRACT FROM AUTHOR]

The object of the present paper is to study space-time admitting generalized projective curvature tensor. [ABSTRACT FROM AUTHOR]

The object of the present paper is to study space-time admitting gen- eralized conformal curvature tensor. [ABSTRACT FROM AUTHOR]

The aim of the paper is to characterize generalized Sasakian-space-forms satisfying certain curvature conditions on the m-projective curvature tensor. We study m-projectively semisymmetric, m-projectively flat, ξ-m-projectively flat, and m-projectively recurrent generalized Sasakian-space-forms. W*:S = 0 and W*:R = 0 on generalized Sasakian-space-forms are also studied. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to study some properties of W2-curvature tensor in Riemannian and Kenmotsu manifolds. [ABSTRACT FROM AUTHOR]

The object of the present paper is to study some curvature conditions on N(K)-contact metric manifolds. [ABSTRACT FROM AUTHOR]

The object of the present paper is to study some curvature conditions on Kenmotsu manifolds. [ABSTRACT FROM AUTHOR]

The object of the present paper is to characterize generalized Sasakian-space-forms satisfying certain curvature conditions on conharmonic curvature tensor. In this paperwe study conharmonically semisymmetric, conharmonically flat, ?-conharmonically flat, and conharmonically recurrent generalized Sasakian-space-forms. Also generalized Sasakian-space-forms satisfying ...C · S 0 and ...C · R=0 have been studied. [ABSTRACT FROM AUTHOR]

The object of the present paper is to study space-time admitting generalized conharmonic curvature tensor. In this paper, we have studied the basic algebraic properties of generalized conharmonic curvature tensor. Next, it is proved that a 4-dimensional relativistic generalized conharmonic flat space-time is an Einstein space-time and it is of constant curvature. Moreover, it is of O-type. It is also observed that in a 4-dimensional relativistic perfect fluid generalized conharmonically flat space-time following Einstein's field equation in the absence of cosmological constant, energy momentum tensor is covariant constant. Finally, it is proved that a 4-dimensional relativistic conservative generalized conharmonic space-time M with constant scalar function ψ is a GRWspace-time. [ABSTRACT FROM AUTHOR]