Almost conformal Ricci solitons on $f$-Kenmotsu Manifolds

Document Type : Original Article

Authors

Shyamal Kumar Hui ¹

Sunil Kumar Yadav ²

Akshoy Patra ³

¹ Department of Mathematics, The University of Burdwan, Golapbag, Burdwan – 713104, West Bengal, India.

² Department of Mathematics, Poornima College of Engineering, ISI-6, RIICO Institutional Area, Sitapura, Jaipur – 302022, Rajasthan, India.

³ Department of Mathematics, Govt. College of Engineering and Technology, Berhampur, Murshidabad – 742101, West Bengal, India.

10.22034/kjm.2019.81221

Abstract

The 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.

Keywords

$f$-Kenmotsu manifold

almost conformal Ricci soliton

$phi $-symmetric

cyclic Ricci parallel

torqued vector field

Subjects

• 53 Differential geometry

---