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Hedayatian, Sina, Izadian, Neda, Yar Ahmadi, Mohammad. (1400). A class of Finsler metrics with bounded non-Riemannian curvatures. سامانه مدیریت نشریات علمی, 2(1), 40-50. doi: 10.22098/jfga.2021.1262
Sina Hedayatian; Neda Izadian; Mohammad Yar Ahmadi. "A class of Finsler metrics with bounded non-Riemannian curvatures". سامانه مدیریت نشریات علمی, 2, 1, 1400, 40-50. doi: 10.22098/jfga.2021.1262
Hedayatian, Sina, Izadian, Neda, Yar Ahmadi, Mohammad. (1400). 'A class of Finsler metrics with bounded non-Riemannian curvatures', سامانه مدیریت نشریات علمی, 2(1), pp. 40-50. doi: 10.22098/jfga.2021.1262
Hedayatian, Sina, Izadian, Neda, Yar Ahmadi, Mohammad. A class of Finsler metrics with bounded non-Riemannian curvatures. سامانه مدیریت نشریات علمی, 1400; 2(1): 40-50. doi: 10.22098/jfga.2021.1262

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
$(alpha؛ beta)$؛ Cartan torsion؛ mean Cartan torsion؛ Landsberg
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تعداد مشاهده مقاله: 309
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