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Majidi, Jila, hajibadali, Ali. (1404). On Ξ-curvature of m-th root Finsler metrics. سامانه مدیریت نشریات علمی, 6(2), 53-70. doi: 10.22098/jfga.2025.17017.1153
Jila Majidi; Ali hajibadali. "On Ξ-curvature of m-th root Finsler metrics". سامانه مدیریت نشریات علمی, 6, 2, 1404, 53-70. doi: 10.22098/jfga.2025.17017.1153
Majidi, Jila, hajibadali, Ali. (1404). 'On Ξ-curvature of m-th root Finsler metrics', سامانه مدیریت نشریات علمی, 6(2), pp. 53-70. doi: 10.22098/jfga.2025.17017.1153
Majidi, Jila, hajibadali, Ali. On Ξ-curvature of m-th root Finsler metrics. سامانه مدیریت نشریات علمی, 1404; 6(2): 53-70. doi: 10.22098/jfga.2025.17017.1153

On Ξ-curvature of m-th root Finsler metrics

Journal of Finsler Geometry and its Applications
دوره 6، شماره 2، اسفند 2025، صفحه 53-70    اصل مقاله (352.05 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2025.17017.1153
نویسندگان
Jila Majidi* 1؛ Ali hajibadali2
1Department of Mathematics, Basic Sciences Faculty University of Bonab, Bonab, Iran
2Department of Mathematics, Basic Sciences Faculty University of Bonab, Bonab, Iran.
چکیده
The notions of S-curvature and Ξ-curvature introduced by Shen that is very
effective for understanding the other Riemannian and non-Riemannian geometric properties
of Finsler metrics. Here, we study the S-curvature and Ξ-curvature of the class of cubic
and quartic (α, β)-metrics. We prove that third root (α, β)-metric of vanishing Ξ-curvature
reduces to a (−1/3)-Kropina metric or it has vanishing S-curvature. Then, we prove that
quartic (α, β)-metric of vanishing Ξ-curvature reduces to a special form of quartic (α, β)-
metric or it has vanishing S-curvature.
کلیدواژه‌ها
Ξ-curvature؛ (α؛ β)-metric؛ S-curvature؛ m–th root metric
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