Transversal lightlike submersiyonlar

This study, which was prepared as a doctoral thesis, consists of three chapters. In the first chapter, the historical development of the subject and the problems studied in this thesis are introduced.In the second section, the basic definitions and concepts that will be useful for the topics in other sections are indicated. Also Riemannian submersions, geometric interpretation of T and A fundamental tensors according to Riemannian submersions, covariant derivatives of these fundamental tensors and relations between curvatures are given. In addition the concepts of r lightlike submersion, isotropic submersion and totally lightlike submersion are introduced by including lightlike manifolds. In the third chapter, transversal submersions are introduced and various examples are presented according to these submersions. In addition, some important results are obtained by examining concepts such as A and T fundamental tensor fields, connections, Schouten connection, integrability, covariant derivative, curvature, sectional curvature and Ricci curvature along transversal submersions according to certain distributions.