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.
Zohrehvand, M. (2023). On a class of conformally flat (α,β)-metrics with special curvature properties. Journal of Finsler Geometry and its Applications, 4(2), 1-21. doi: 10.22098/jfga.2023.13701.1099
MLA
Mosayeb Zohrehvand. "On a class of conformally flat (α,β)-metrics with special curvature properties". Journal of Finsler Geometry and its Applications, 4, 2, 2023, 1-21. doi: 10.22098/jfga.2023.13701.1099
HARVARD
Zohrehvand, M. (2023). 'On a class of conformally flat (α,β)-metrics with special curvature properties', Journal of Finsler Geometry and its Applications, 4(2), pp. 1-21. doi: 10.22098/jfga.2023.13701.1099
VANCOUVER
Zohrehvand, M. On a class of conformally flat (α,β)-metrics with special curvature properties. Journal of Finsler Geometry and its Applications, 2023; 4(2): 1-21. doi: 10.22098/jfga.2023.13701.1099
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