대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제58권4호
  • /
  • Pages.853-863
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  • 2021
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2020.07.05
  • 심사 : 2020.12.09
  • 발행 : 2021.07.31
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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.

키워드

과제정보

This work was financially supported by NSFC 11701300 and K. C. Wong Magna Fund in Ningbo University.

참고문헌

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