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Zohrehvand, Mosayeb. (1402). On a class of conformally flat (α,β)-metrics with special curvature properties. سامانه مدیریت نشریات علمی, 4(2), 1-21. doi: 10.22098/jfga.2023.13701.1099
Mosayeb Zohrehvand. "On a class of conformally flat (α,β)-metrics with special curvature properties". سامانه مدیریت نشریات علمی, 4, 2, 1402, 1-21. doi: 10.22098/jfga.2023.13701.1099
Zohrehvand, Mosayeb. (1402). 'On a class of conformally flat (α,β)-metrics with special curvature properties', سامانه مدیریت نشریات علمی, 4(2), pp. 1-21. doi: 10.22098/jfga.2023.13701.1099
Zohrehvand, Mosayeb. On a class of conformally flat (α,β)-metrics with special curvature properties. سامانه مدیریت نشریات علمی, 1402; 4(2): 1-21. doi: 10.22098/jfga.2023.13701.1099

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 (378.28 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 (α؛ β)-metric؛ Ξ-curvature؛ mean Landsberg curvature
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