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on a class of conformally flat (α,β)-metrics with special curvature properties
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نویسنده
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zohrehvand mosayeb
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منبع
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journal of finsler geometry and its applications - 2023 - دوره : 4 - شماره : 2 - صفحه:1 -21
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چکیده
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This paper is devoted to study of a class of conformally flat (α, β)--metrics that have of the form f = α exp(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 ξ-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.
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کلیدواژه
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conformally flat metric ,exponential (α ,β)-metric ,ξ-curvature ,mean landsberg curvature
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آدرس
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malayer university, department of mathematical science and statistics, iran
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پست الکترونیکی
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m.zohrehvand@malayeru.ac.ir
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Authors
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