Lightlike submanifolds of poly-norden semi-riemannian manifolds

Being prepared as a doctoral thesis, this study consists of four chapters. In the first chapter, historical development of the thesis subject is explained. In the second chapter, we give some basic definitions and theorems about semi-Riemannian manifolds with lightlike hypersurfaces and lightlike submanifolds of semi-Riemannian manifold, which will be used in the next sections, are discussed. In the third chapter, we study lightlike hypersurfaces of poly-Norden semi-Riemannian manifolds. Firstly, we introduce invariant lightlike hypersurfaces of ploy-Norden semi-Riemannian manifolds. Then we obtain some results on screen semi-invariant lightlike hypersurfaces of poly-Norden semi-Riemannian manifolds. Fourth chapter is devoted to study of lightlike submanifolds of poly-Norden semi-Riemannain manifolds. Firstly, we study invariant and semi-invariant lightlikle submanifolds of poly-Norden semi-Riemannian manifolds. Then we introduce generalized CR-lightlike and screen transversal CR-lightlike submanifolds of poly-Norden semi-Riemannian manifolds and we give some examples of this types submanifolds