Investigation of Some Tensor Conditions on α-Kenmotsu Manifolds

This thesis consists of four chapters. The first chapter of the thesis is devoted to the introduction part. Necessary information about contact structures, almost contact metric structures, and Kenmotsu manifolds are presented. The second chapter of the thesis gives basic concepts and literature information. In the third chapter of the thesis, some results are obtained on η-parallel Ricci tensor, η-Einstein, and Einstein α-Kenmotsu manifolds. In the last chapter of the thesis, semi-symmetric, locally symmetric, Ricci semi-symmetricl, Ricci recurrent, conformal semi-symmetric, projective semi-symmetric, concircular semi-symmetric, conformal flat, projective flat, concircular flat, D-conformal curvature tensor, generalized Recurrent, generalized Ricci recurrent, generalized concircular recurrent, α-Kenmotsu manifolds satisfying local and global ϕ-symmetric conditions are examined and some results are obtained.