Some special vector fields on the total space of Riemannian submersions

The aim of this study, which is prepared as a master thesis, is to investigate some special vector fields such as concurrent, concircular, recurrent and torse-forming on the total space of Riemann submersions. The thesis consists of six main chapters. The first part of the thesis is devoted to the introduction. In the second part, studies and historica ldevelopments in the related literature are mentioned. In the third chapter, the theorems and definitions about Riemannian manifolds and submanifolds and some special vector fields required for the thesis are given. In the fourth chapter, Riemann submersions whose total space is equipped with concurrent vector field, concircular vector field, recurrent vector field and torqued vector field respectively are handled and various characterizations about them are given. In the fifth chapter, the results obtained from this thesis study are given and some suggestions about the subject are given.