Abstract
Let F=αϕ(s),s=βα, be an (α,β)-metric on a smooth manifold M of dimension n≥3 such that ϕ(s) comes from a real analytic but not even function. In this paper we give a characterization of (M,F) to be a weakly Berwald space. More precisely, we prove that F has vanishing S-curvature if and only if F has vanishing E-curvature.
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