Generalized η-Ricci solitons on f-Kenmotsu 3-manifolds associated to the Schoutenvan Kampen connection

Abstract

In this paper, we investigate f-Kenmotsu 3-dimensional manifolds admitting generalized η-Ricci solitons with respect to the Schouten-van Kampen connection. We provide an example of generalized η-Ricci solitons with respect to the Schouten-van Kampen connection on an f-Kenmotsu 3-dimensional manifold to prove our results.

Keywords

• f-kenmotsu manifolds generalized η-ricci soliton
• schouten-van kampen