ON AN EINSTEIN M-PROJECTIVE P-SASAKIAN MANIFOLDS

摘要

In this paper, we have proved that if in an Einstein P-Sasakian manifold R(T, X). W* = 0 holds, then it is locally isometric with a unit S n (1). It has also been proved that n-dimensional n Einstein P-Sasakian manifold M satisfies W* (T, X). R = 0 if an only if either mn, is locally isometric to the hyperbolic space lin (-1) or the scalar curvature r of mn is r = –n(n – 1).