Conformal submersi̇ons on product geometry

This thesis is comprised of four main chapters. The first chapter outlines the historical development of the subject. In the second chapter, you'll find the fundamental definitions, theorems, and examples that are essential for the subsequent sections. The third chapter focuses on conformal anti-invariant submersions. This section defines conformal anti-invariant submersions from almost product manifolds to Riemannian manifolds and provides illustrative examples. Furthermore, it discusses the integrability and parallelism of distributions for these submersions, and investigates their harmonicity and total geodesy. Additionally, decomposition theorems determined by these types of submersions are presented in this chapter. The fourth chapter discusses conformal semi-invariant submersions. This section defines conformal semi-invariant submersions from almost product manifolds to Riemannian manifolds, providing illustrative examples. Furthermore, it investigates the integrability and parallelism of distributions for these submersions and examines their harmonicity and total geodesy.