On LP-Sasakian manifolds with a coefficient [alpha] satisfying certain curvature conditions

The object of the present paper is to classify an LP-Sasakian manifold with a coefficient [alpha] satisfying certain curvature conditions. Also [xi]-concircularly flat and [phi]-concircularly flat LP-Sasakian manifold with a coefficient [alpha] have been studied. Finally, we have shown the applications of such a manifold in general relativity and cosmology. Keywords and Phrases: LP-Sasakian manifold with a coefficient [alpha], Einstein manifold, [eta]-Einstein manifold, Concircular curvature tensor, [xi[-concircularly flat, [phi]-concircularly flat.
1. Introduction In 1989, Matsumoto [11] introduced the notion of LP-Sasakian manifolds. Then Mihai and Rosca [8] introduced the same notion independently and they obtained several results in this manifold. [...]