Abstract. In this paper, we study the class of quintic (α,β)-metrics. We show that every weakly Landsberg 5-th root (α,β)-metrics has vanishing S-curvature. Using it, we prove that a quintic (α,β)-metric is a weakly Landsberg metric if and only if it is a Berwald metric. Then, we show that a quintic (α,β)-metric satisfies Ξ = 0 if and only if S = 0.
Majidi, J., & Haji-Badali, A. (2024). On quintic (α,β)-metrics in Finsler geometry. Journal of Finsler Geometry and its Applications, (), 52-69. doi: 10.22098/jfga.2024.14740.1119
MLA
Jila Majidi; Ali Haji-Badali. "On quintic (α,β)-metrics in Finsler geometry". Journal of Finsler Geometry and its Applications, , , 2024, 52-69. doi: 10.22098/jfga.2024.14740.1119
HARVARD
Majidi, J., Haji-Badali, A. (2024). 'On quintic (α,β)-metrics in Finsler geometry', Journal of Finsler Geometry and its Applications, (), pp. 52-69. doi: 10.22098/jfga.2024.14740.1119
VANCOUVER
Majidi, J., Haji-Badali, A. On quintic (α,β)-metrics in Finsler geometry. Journal of Finsler Geometry and its Applications, 2024; (): 52-69. doi: 10.22098/jfga.2024.14740.1119
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