Perkta?s S.Y.Kili?c E.Tripathi M.M.Kel?s S.2024-08-042024-08-0420121311-8080https://hdl.handle.net/11616/91602In 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.eninfo:eu-repo/semantics/closedAccess?-parallel Ricci tensor(?)-para Sasakian 3-manifoldLocally'-symmetric spacePseudosymmetric spaceRicci-semi-symmetric spaceArticle7744854992-s2.0-84862194558N/A