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On Kropina transformation of exponential (α,β)-metrics | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 5، شماره 1، مرداد 2024، صفحه 34-51 اصل مقاله (287.72 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2024.14680.1117 | ||
| نویسندگان | ||
| Mosayeb Zohrehvand1؛ Ghodratallah Fasihi-Ramandi* 2؛ shahroud azami2 | ||
| 1Department of Mathematical Science and Statistics, Malayer University, Malayer, Iran | ||
| 2Department of pure Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran | ||
| چکیده | ||
| In this paper, we study the Kropina transformation of exponential (α,β)-metric F=α\exp(s), s:=β/α. We characterize the conditions under which this class of (α,β)-metric is locally projectively flat, locally dually flat, and Douglas metric. Based on, we show that the Kropina transformation of an exponential (α,β)-metric is locally projectively flat, locally dually flat and Douglas metric if and only if the exponential (α,β)-metric is locally projectively flat, locally dually flat and Douglas metric, respectively. | ||
| کلیدواژه‌ها | ||
| Locally projectively flat؛ Locally dually flat؛ Douglas metric؛ (α؛ β)-metric | ||
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آمار تعداد مشاهده مقاله: 57 تعداد دریافت فایل اصل مقاله: 64 |
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