Three Dimensional Quasi-Para-Sasakian Manifolds Satisfying Certain Curvature Conditions

Abstract

The object of the present paper is to study some classes of 3-dimensional quasi-para-Sasakian manifoldswith β =const. We investigated 3-dimensional quasi-para-Sasakian manifolds with β =const. satisfyingthe curvature conditions P.Q = 0, Q.P = 0, P.R = 0, where P is the projective curvature tensor, Q isthe Ricci operator and R is the Riemannian curvature tensor. Also, a 3-dimensional concircularly flatquasi-para-Sasakian manifold with β =const. is studied. Finally, an example of 3-dimensional properquasi-para-Sasakian manifold with β =const. is given.