On pointwise semi-slant Riemannian maps

The master's thesis being worked on consists of four main chapters. In the first chapter, a historical perspective related to the subject of the thesis is presented. In the second chapter, fundamental definitions, theorems, and examples are provided, which will be helpful in the following chapters.In the third section, the definition of the pointwise semi-slant Riemannian transformation, which is mapped from almost Hermitian manifolds to Riemannian manifolds within the framework of complex geometry, is first introduced, accompanied by examples demonstrating the existence of such transformations. Subsequently, the geometry of source and target manifolds is examined through pointwise semi-slant Riemannian transformations defined from almost Hermitian manifolds to Riemannian manifolds. Additionally, decomposition theorems are presented for distributions defined by pointwise Riemannian transformations. Later in the section, curvature relations involving Chen-Ricci inequalities are explored for pointwise semi-slant Riemannian transformations defined from complex space forms to Riemannian manifolds. In the fourth section, pointwise semi-slant Riemannian transformations defined from Riemannian manifolds to almost Hermitian manifolds within the framework of complex geometry are discussed, and examples related to these transformations are provided. Subsequently, the existence conditions of these transformations are examined, and their total geodesicity and harmonicity are investigated. Furthermore, key conditions required for pointwise semi-slant Riemannian transformations to be totally geodesic are specified. Later in the section, curvature relations involving Casorati inequalities are explored for pointwise semi-slant Riemannian transformations defined from Riemannian manifolds to complex space forms.