SOME CLASSES OF 3-DIMENSIONAL NORMAL ALMOST PARACONTACT METRIC MANIFOLDS

The aim of present paper is to investigate 3-dimensional ξ-projectively flat and φ-projectively flat normal almost paracontact metric manifolds. As a first step, we proved that if the 3dimensional normal almost paracontact metric manifold is ξ-projectively flat then ∆β = 0. If additionally β is constant then the manifold is β-para-Sasakian. Later, we proved that a 3-dimensional normal almost paracontact metric manifold is φ-projectively flat if and only if it is an Einstein manifold for α, β =const. Finally, we constructed an example to illustrate the results obtained in previous sections.