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Projectively equivalent Finsler metrics on surfaces of negative Euler characteristic

Published 7 Aug 2019 in math.DG | (1908.02701v2)

Abstract: We proof that on a surface of negative Euler characteristic, two real-analytic Finsler metrics have the same unparametrized oriented geodesics, if and only if they differ by a scaling constant and addition of a closed 1-form.

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