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    ON (?)-para sasakian 3-manifolds
    (2012) Perkta?s S.Y.; Kili?c E.; Tripathi M.M.; Kel?s S.
    In this paper we study the 3-dimensional (?)-para Sasakian manifolds. We obtain a necessary and sufficient condition for an (?)-para Sasakian 3- manifold to be an indefinite space form. We show that a Ricci-semi-symmetric (?)-para Sasakian 3-manifold is an indefinite space form. We investigate the necessary and sufficient condition for an (?)-para Sasakian 3-manifold to be locally '-symmetric. It is proved that in an (?)-para Sasakian 3-manifold with ?-parallel Ricci tensor the scalar curvature is constant. It is also shown that every (?)-para Sasakian 3-manifolds is pseudosymmetric in the sense of R. Deszcz. © 2012 Academic Publications, Ltd.