Lorentzian para sasakian manifolds

The aim of the present thesis is to study Lorentzian para-sasakian manifolds. Thethesis colsists of three chapter.First chapter contains some well-known definitions and results which will be usedin the other chapter. Second chapter contains some well-known definitions, theorems andresults about Sasakian manifolds. Chapter three contains the original work.In the first chapter we introduce basic definitions such as Riemannian curvaturetensor, Einstein manifold, Weyl Conformal tensor, Conhormonical tensor, and conformal flatmanifold.In the second chapter the definitions of Sasakian manifold, sasakian space form, K-contact manifold, and the basic theorems and propositions which are connected with thesedefinitions have been given.In the last chapter with the basic theorems and definitions of Lorentzian para-Sasakian manifolds, the equality which is used to provide the conditions of Lorentzian para-Sasakian manifolds have been given. Under the light of these given information, the writtentheorems have been proved and results have been obtained.Keywords: Einstein manifold, almost contact metric manifold, Lorentzian para-sasakianmanifold Riemannian curvature tensor, sasakian manifold, Weyl conformal tensor conformalflat manifold,vii