On pseudo-parallel kenmotsu manifolds

In this thesis, we investigated Kenmotsu manifolds, the curvature tensors of Kenmotsu manifolds, and the pseudo-parallel submanifolds of Kenmotsu manifolds. This thesis consists of five chapters. The first chapter includes a literature review on the importance of the problem addressed in the thesis, its relevance, and the studies conducted on the subject. The second chapter provides some essential fundamental definitions and theorems necessary for the thesis problem. The third chapter focuses on almost contact metric manifolds and a particular class of these manifolds known as Kenmotsu manifolds. The fourth and fifth chapters contain original contributions. In the fourth chapter, characterizations of Kenmotsu manifolds under certain curvature conditions are determined using Riemann, Ricci, concircular, and projective curvature tensors. The fifth chapter classifies the invariant pseudo-parallel submanifolds of Kenmotsu manifolds based on their types. Pseudo-parallel, 2 pseudo-parallel, Ricci generalized pseudoparallel, and 2 Ricci generalized pseudo-parallel submanifolds of Kenmotsu manifolds are thoroughly investigated in this chapter. Keywords: Kenmotsu Manifold, Invariant Submanifold, Pseudo-parallel Submanifold