TY - JOUR AU - U. C. De AU - M. Turan AU - A. Yildiz PY - 2013/05/25 Y2 - 2024/03/29 TI - On 3-dimensional <em class="a-plus-plus">f</em>-Kenmotsu manifolds and Ricci solitons JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 65 IS - 5 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2446 AB - The aim of the present paper is to study 3-dimensional f-Kenmotsu manifolds and Ricci solitons. First, we give an example of a 3-dimensional f-Kenmotsu manifold. Then we consider a Riccisemisymmetric 3-dimensional f-Kenmotsu manifold and prove that a 3-dimensional f-Kenmotsu manifold is Ricci semisymmetric if and only if it is an Einstein manifold. Moreover, we investigate an η-parallel Ricci tensor in a 3-dimensional f-Kenmotsu manifold. Finally, we study Ricci solitons in a 3-dimensional f-Kenmotsu manifold. ER -