عنوان	On quintic (α,β)-metrics in Finsler geometry
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Weakly Landsberg metric, Landsberg metric, Berwald metric, (α, β)-metric, S-curvature, Ξ-curvature
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 Scurvature. 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.
پژوهشگران	علی حاجی بدلی (نفر دوم)، ژیلا مجیدی (نفر اول)