Algebraic Ricci solitons in the Finslerian case

Algebraic Ricci solitons in the Finslerian case

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 R...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2021, 58(4), , pp.853-863
Hauptverfasser: Guocheng Jiao, Zaili Yan
Format: Artikel
Sprache:eng
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Zusammenfassung: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. KCI Citation Count: 0
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b200581