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

سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 46

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شناسه ملی سند علمی:

JR_JFGA-3-1_012

تاریخ نمایه سازی: 18 آبان 1402

چکیده مقاله:

In this paper, we first study a special class of (α,β)-metrics in the form F = α + εβ + k β۲/α , where α is Riemannian metric, β is a ۱-form, and ε,k(≠ ۰) are constant. We give a complete classification for such metrics to be locally dually flat. By assumption β is a conformal ۱-form, we show that the metric is locally dually flat if and only if α is a Euclidean metric and β is a constant ۱-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.

نویسندگان

Saeedeh Masoumi

Department of Mathematics, Faculty of Science, Urmia University Urmia, Iran.

Bahman Rezaei

Department of Mathematics, Faculty of Science, Urmia University Urmia, Iran.

Mehran Gabrani

Department of Mathematics, Faculty of Science, Urmia University Urmia, Iran.