Abstract

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 $\mathcal{Z}$ 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 $\phi$-Symmetric LP-Sasakian manifold is an $\eta$-Einstein manifold.

Keywords and Phrases

LP-Sasakian manifold, conformal curvature tensor, generalized conformal curvature tensor, Einstein manifold.

A.M.S. subject classification

53C25, 53D15.

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