Bulletin of the
Korean Mathematical Society
BKMS
Article
ALL ARTICLES
View
Bull. Korean Math. Soc. 2021; 58(4): 853-863
Online first article February 26, 2021 Printed July 31, 2021
https://doi.org/10.4134/BKMS.b200581
Copyright © The Korean Mathematical Society.
Algebraic Ricci solitons in the Finslerian case
Guocheng Jiao, Zaili Yan
Ningbo University; Ningbo University
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: Primary 53C60, 53C30, 53C25
Supported by: This work was financially supported by NSFC 11701300 and K. C. Wong Magna Fund in Ningbo University.
Fulltext
Stats or Metrics
Share this article on :
Related articles in BKMS
-
Hopf hypersurfaces of the homogeneous nearly K\"{a}hler $\mathbb{S}^3\times\mathbb{S}^3$ satisfying certain commuting conditions
2022; 59(6): 1567-1594
-
Ricci solitons and Ricci almost solitons on para-Kenmotsu manifold
2019; 56(5): 1315-1325
-
Some results on concircular vector fields and their applications to Ricci solitons
2015; 52(5): 1535-1547
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd