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Algebraic Ricci solitons in the Finslerian case

Zaili Yan|Guocheng Jiao
대한수학회 (The Korean Mathematical Society)|2021.07|대한수학회보 (Bulletin of the KMS)|제58권 제4호|pp. 853-863|DOI 10.4134/BKMS.b200581

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참고문헌

키워드

Ricci solitonHomogeneous Finsler spaceFinslerian algebraic Ricci soliton
주제분류수학

초록

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.

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.

참고문헌 (21)

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