α-Kenmotsu pseudo-metric manifolds satisfying certain tensor conditions

This thesis consists of four chapters. The first chapter of the thesis is devoted to the introduction part. The historical development of contact structures, almost contact metric structures, Kenmotsu manifolds, pseudo-metric structures and almost Kenmotsu pseudo-metric manifolds are given in the light of the literature. In the second chapter of the thesis, basic definitions and concepts related to the manifold theory, which form the basis of our research, are presented. In the third chapter of the thesis, curvature properties of α-Kenmotsu pseudo-metric manifolds and a detailed example are given. In the last chapter of the thesis, α-Kenmotsu pseudo-metric manifolds satisfying some tensor conditions are examined. In particular, semi-symmetric, Ricci semi-symmetric, locally symmetric, M-projective curvature tensor field, concircular curvature tensor field, conharmonic curvature tensor field, D-conformal curvature tensor field and some special tensor product on α-Kenmotsu pseudo-metric manifolds are investigated and some results are obtained.