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Masoumi, Saeedeh, Rezaei, Bahman, Gabrani, Mehran. (1401). On a special class of dually flat (α, β)-metrics. سامانه مدیریت نشریات علمی, 3(1), 141-154. doi: 10.22098/jfga.2022.10850.1066
Saeedeh Masoumi; Bahman Rezaei; Mehran Gabrani. "On a special class of dually flat (α, β)-metrics". سامانه مدیریت نشریات علمی, 3, 1, 1401, 141-154. doi: 10.22098/jfga.2022.10850.1066
Masoumi, Saeedeh, Rezaei, Bahman, Gabrani, Mehran. (1401). 'On a special class of dually flat (α, β)-metrics', سامانه مدیریت نشریات علمی, 3(1), pp. 141-154. doi: 10.22098/jfga.2022.10850.1066
Masoumi, Saeedeh, Rezaei, Bahman, Gabrani, Mehran. On a special class of dually flat (α, β)-metrics. سامانه مدیریت نشریات علمی, 1401; 3(1): 141-154. doi: 10.22098/jfga.2022.10850.1066

On a special class of dually flat (α, β)-metrics

Journal of Finsler Geometry and its Applications
مقاله 12، دوره 3، شماره 1، مهر 2022، صفحه 141-154    اصل مقاله (94.13 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2022.10850.1066
نویسندگان
Saeedeh Masoumi؛ Bahman Rezaei* ؛ Mehran Gabrani
Department of Mathematics, Faculty of Science, Urmia University Urmia, Iran.
چکیده
In this paper, we first study a special class of (α,β)-metrics in the form F = α + εβ + k β2/α , where α is Riemannian metric, β is a 1-form, and ε,k(≠ 0) are constant. We give a complete classification for such metrics to be locally dually flat. By assumption β is a conformal 1-form, we show that the metric is locally dually flat if and only if α is a Euclidean metric and β is a constant 1-form. Further, we classify locally dually flat of a class of Finsler metric in the form F = α exp( α/β ) + εβ, where ε is constant.
کلیدواژه‌ها
Finsler metric؛ (α؛ β)- metric؛ locally dually flat
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