Curvature Properties of Quasi-Para-Sasakian Manifolds

Abstract

The paper is devoted to study quasi-para-Sasakian manifolds. Basic properties of such manifolds are obtained and general curvature identities are investigated. Next it is proved that if M is a quasi-para-Sasakian manifold of constant curvature K. Then K <= 0 and (z) if K = 0, the manifold is paracosymplectic, (ii) if K < 0, the quasi-para-Sasakian structure of M is obtained by a homothetic deformation of a para-Sasakian structure. Finally, an example of a 3-dimensional proper quasi-para-Sasakian manifold is constructed.