@article{article_292417, title={ON 3-DIMENSIONAL $\alpha$-PARA KENMOTSU MANIFOLDS}, journal={Konuralp Journal of Mathematics}, volume={5}, pages={11–23}, year={2017}, author={Mandal, KRISHANU and De, U.C.}, keywords={$\alpha$-para Kenmotsu manifolds,Quasi constant curvature,Ricci semisymmetric,Cyclic parallel Ricci tensor,$\eta$-parallel Ricci tensor,Locally $\phi$-symmetric,Gradient Ricci solitons.}, abstract={<div>The aim of the present paper is to study 3-dimensional alpha-para Kenmotsu manifolds. First we consider 3-dimensional Ricci semisymmetric $\alpha$-para Kenmotsu manifolds and obtain some equivalent conditions. Next we study cyclic parallel Ricci tensor in 3-dimensional $\alpha$-para Kenmotsu manifolds. Moreover, we investigate $\eta$-parallel Ricci tensor in 3-dimensional $\alpha$-para Kenmotsu manifolds. Continuing our study, we consider locally $\phi$-symmetric 3-dimensional alpha-para Kenmotsu manifolds. Next, we study gradient Ricci solitons in 3-dimensional $\alpha$-para Kenmotsu manifolds. Finally, we give an example of a 3-dimensional $\alpha$-para Kenmotsu manifold which veries some results. </div>}, number={1}, publisher={Mehmet Zeki SARIKAYA}