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Finsler metrics on surfaces admitting three projective vector fields (1908.02696v1)
Published 7 Aug 2019 in math.DG
Abstract: We show that in dimension 2 every Finsler metric with at least 3-dimensional Lie algebra of projective vector fields is locally projectively equivalent to a Randers metric. We give a short list of such Finsler metrics which is complete up to coordinate change and projective equivalence.
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