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On a non-Riemannian quantity of (α, β)-metrics
(Sigma Journal of Engineering and Natural Sciences, 2022)
In this paper, we study a non-Riemannian quantity χ-curvature of
(α, β)-metrics, a special class of Finsler metrics with Riemannian metric
α and a 1-form β. We prove that every (α, β)-metric has a vanishing
χ-curvature ...