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Majidi, Jila, Haji-Badali, Ali. (1403). On quintic (α,β)-metrics in Finsler geometry. سامانه مدیریت نشریات علمی, 5(1), 52-69. doi: 10.22098/jfga.2024.14740.1119
Jila Majidi; Ali Haji-Badali. "On quintic (α,β)-metrics in Finsler geometry". سامانه مدیریت نشریات علمی, 5, 1, 1403, 52-69. doi: 10.22098/jfga.2024.14740.1119
Majidi, Jila, Haji-Badali, Ali. (1403). 'On quintic (α,β)-metrics in Finsler geometry', سامانه مدیریت نشریات علمی, 5(1), pp. 52-69. doi: 10.22098/jfga.2024.14740.1119
Majidi, Jila, Haji-Badali, Ali. On quintic (α,β)-metrics in Finsler geometry. سامانه مدیریت نشریات علمی, 1403; 5(1): 52-69. doi: 10.22098/jfga.2024.14740.1119

On quintic (α,β)-metrics in Finsler geometry

Journal of Finsler Geometry and its Applications
دوره 5، شماره 1، 2024، صفحه 52-69    اصل مقاله (371.82 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2024.14740.1119
نویسندگان
Jila Majidi* 1؛ Ali Haji-Badali2
1Department of Mathematics Basic Sciences Faculty University of Bonab, Bonab, Iran
2Department of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab 5551395133, Iran.
چکیده
 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.
کلیدواژه‌ها
Weakly Landsberg metric؛ Landsberg metric؛ Berwald metric؛ (α؛ β)-metric؛ S-curvature؛ Ξ-curvature
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