Soliton types in the para-Sasakian manifolds

This study prepared as a masters thesis, consists of four chapters. The first section is the introduction. In the second section, the base definitions and concepts used in the subsequent sections of this study are given. In the third section, firstly almost para-contact manifolds, para-contact manifolds and para-Sasakian manifolds are introduced, then soliton types is introduced on a para-Sasakian manifold. In the fourth section, some characterizations are given for the Weyl conformal curvature tensor, the projective curvature tensor and the conharmonic curvature tensor on a para-Sasakian manifold which is satisfied Ricci soliton equation. Keywords: Para-contact manifolds, para-Sasakian manifolds, Ricci soliton, Riemann curvature tensor, Weyl conformal curvature tensor, projective curvature tensor, conharmonic curvature tensor.