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A class of Finsler metrics with bounded non-Riemannian curvatures | ||
Journal of Finsler Geometry and its Applications | ||
مقاله 3، دوره 2، شماره 1، مهر 2021، صفحه 40-50 اصل مقاله (100.94 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22098/jfga.2021.1262 | ||
نویسندگان | ||
Sina Hedayatian* 1؛ Neda Izadian2؛ Mohammad Yar Ahmadi3 | ||
1Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz-Iran. Email: hedayatian@scu.ac.ir | ||
2Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz-Iran. Email: nezadiyan@gmail.com | ||
3Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz-Iran. Email: m.yarahmadi@scu.ac.ir | ||
چکیده | ||
In this paper, we find a necessary and sufficient condition for a class of Finsler metrics defined by a Riemannian metric and a 1-form on a manifold which has bounded mean Cartan torsion. Moreover, we obtain a necessary and sufficient condition under which the above mentioned class of Finsler metrics has bounded mean Landsberg curvature. Next, we investigate these metrics with bounded mean Cartan torsion and mean Landsberg curvature. Furthermore, we give explicit examples of this type of metrics. | ||
کلیدواژهها | ||
(α؛ β)-metric؛ Cartan torsion؛ mean Cartan torsion؛ Landsberg curvature؛ mean Landsberg curvature | ||
مراجع | ||
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آمار تعداد مشاهده مقاله: 369 تعداد دریافت فایل اصل مقاله: 268 |