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On a class of two-dimensional projectively flat finsler metrics with constant flag curvature

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Abstract

In this paper, we study a special class of two-dimensional Finsler metrics defined by a Riemannian metric and 1-form. We classify those which are locally projectively flat with constant flag curvature.

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Correspondence to Guo Jun Yang.

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Supported by the Fundamental Research Funds for the Central Universities

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Yang, G.J. On a class of two-dimensional projectively flat finsler metrics with constant flag curvature. Acta. Math. Sin.-English Ser. 29, 959–974 (2013). https://doi.org/10.1007/s10114-013-0728-0

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  • DOI: https://doi.org/10.1007/s10114-013-0728-0

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