On 3-dimensional <em class="a-plus-plus">f</em>-Kenmotsu manifolds and Ricci solitons
AbstractThe 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.
How to Cite
De, U. C., M. Turan, and A. Yildiz. “On 3-Dimensional <em class="a-Plus-plus">f</Em>-Kenmotsu Manifolds and Ricci Solitons”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 5, May 2013, pp. 620–628, https://umj.imath.kiev.ua/index.php/umj/article/view/2446.