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http://dx.doi.org/10.4134/BKMS.b200581

ALGEBRAIC RICCI SOLITONS IN THE FINSLERIAN CASE  

Jiao, Guocheng (School of Mathematics and Statistics Ningbo University)
Yan, Zaili (School of Mathematics and Statistics Ningbo University)
Publication Information
Bulletin of the Korean Mathematical Society / v.58, no.4, 2021 , pp. 853-863 More about this Journal
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;
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