Algebraic Ricci solitons in the Finslerian case
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.
Keywords : homogeneous Finsler space, Ricci soliton, Finslerian algebraic Ricci soliton
MSC numbers : 53C60, 53C30, 53C25
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