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On Conformally Flat G.R.C. of Exponential (α,β)-Metrics | ||
| Caspian Journal of Mathematical Sciences | ||
| دوره 15، شماره 1 - شماره پیاپی 29، 2026، صفحه 236-252 اصل مقاله (376 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2026.30974.1804 | ||
| نویسندگان | ||
| Mosayeb Zohrehvand* 1؛ Shahroud Azami2؛ MEHDI JAFARI3 | ||
| 1Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran | ||
| 2Department of Pure Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran | ||
| 3Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran | ||
| تاریخ دریافت: 12 دی 1404، تاریخ بازنگری: 16 اسفند 1404، تاریخ پذیرش: 26 اسفند 1404 | ||
| چکیده | ||
| This paper is devoted to the study of generalized Randers change in a specific class of (α,β)-metrics of conformally flat type. These metrics are defined as F = αexp(β/α) + εβ, where ε ̸= 0 is a real constant, and are called the generalized Randers change(G.R.C.) of the exponential metric. We demonstrate that if F possesses a relatively isotropic mean Landsberg curvature, it must either be a Riemannian or a locally Minkowskian metric. Furthermore, if F is a non-Riemannian weak Einstein metric, it necessarily reduces to a locally Minkowskian metric. | ||
| کلیدواژهها | ||
| Conformally flat metric؛ Exponential (α؛ β)-metric؛ Mean Landsberg curvature؛ Weak Einstein metric | ||
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آمار تعداد مشاهده مقاله: 40 تعداد دریافت فایل اصل مقاله: 4 |
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