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In this paper, we study the (α,β)-metrics of scalar flag curvature in the form of F = α + εβ + κβ^2/α (ε and k ≠ 0 are constants) and F = α^2/α-β. We prove that these two kinds of metrics are weak Berwaldian if and only if they are Berwaldian and their flag curvatures vanish. In this case, the metrics are locally Minkowskian. 相似文献
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