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On a class of conformally flat (α,β)-metrics with special curvature properties | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 4، شماره 2، اسفند 2023، صفحه 1-21 اصل مقاله (316.75 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2023.13701.1099 | ||
| نویسنده | ||
| Mosayeb Zohrehvand* | ||
| Department of Mathematical Science and Statistics, Malayer University, Malayer, Iran | ||
| چکیده | ||
| This paper is devoted to study of a class of conformally flat (α,β)-metrics that have of the form F = αexp(2s)/s; where s := β/α. They are called Kropina change of exponential (α,β)-metrics. We prove that if F has relatively isotropic mean Landsberg curvature or almost vanishing Xi-curvature then it is a Riemannian metric or a locally Minkowski metric. Also, we prove that, if F be a weak Einstein metric, then it is either a Riemannian metric or a locally Minkowski metric. | ||
| کلیدواژه‌ها | ||
| Conformally flat metric؛ exponential (alpha؛ beta )-metric؛ Xi-curvature؛ mean Landsberg curvature | ||
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آمار تعداد مشاهده مقاله: 74 تعداد دریافت فایل اصل مقاله: 61 |
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