Bull. Korean Math. Soc. Published online February 26, 2021
Guocheng Jiao and Zaili Yan
School of Mathematics and Statistics, Ningbo University, Ningbo, Zhejiang, China
Abstract : In this paper, we study algebraic Ricci solitons in the Finslerian case.
We show that any simply connected Finslerian algebraic Ricci soliton is a Finslerian Ricci soliton.
Furthermore, we study Randers algebraic Ricci solitons.
It turns out that a shrinking, steady, or expanding Randers algebraic Ricci soliton with vanishing S-curvature is Einstein, locally Minkowskian, or Riemannian, respectively.