Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)Khayyam Journal of Mathematics2423-47885120190101Almost conformal Ricci solitons on $f$-Kenmotsu Manifolds891048122110.22034/kjm.2019.81221ENShyamal KumarHuiDepartment of Mathematics, The University of Burdwan, Golapbag, Burdwan – 713104, West Bengal, India.Sunil KumarYadavDepartment of Mathematics, Poornima College of Engineering, ISI-6, RIICO
Institutional Area, Sitapura, Jaipur – 302022, Rajasthan, India.Akshoy PatraDepartment of Mathematics, Govt. College of Engineering and Technology, Berhampur, Murshidabad – 742101, West Bengal, India.Journal Article20180504The object of the present paper is to study the $\phi $-Ricci symmetric, locally $\phi $-Ricci symmetric and cyclic Ricci parallel three-dimensional $f$-Kenmotsu manifold bearing the function $f$ being constant. We have considered almost conformal Ricci soliton on the three-dimensional $f$-Kenmostu manifold and deduced the condition for an almost conformal Ricci soliton, which becomes conformal Ricci soliton. Finally, examples on three-dimensional $f$-Kenmotsu manifold depending on nature of $f$ are constructed to illustrate the results.https://www.kjm-math.org/article_81221_ef73fb5317c2abd196bf85fc43cda852.pdf