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Two-dimensional Finsler metrics with constant flag curvature

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Abstract.

 We construct infinitely many two-dimensional Finsler metrics on 𝕊2 and 𝔻2 with non-zero constant flag curvature. They are all not locally projectively flat.

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Authors and Affiliations

  1. Math Dept, IUPUI, 402 N. Blackford Street, Indianapolis, IN 46202-3216, USA. e-mail: zshen@math.iupui.edu, , , , , , US

    Zhongmin Shen

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  1. Zhongmin Shen
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Received: 10 October 2001 / Revised version: 15 July 2002

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Shen, Z. Two-dimensional Finsler metrics with constant flag curvature. Manuscripta Math. 109, 349–366 (2002). https://doi.org/10.1007/s00229-002-0311-y

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  • DOI: https://doi.org/10.1007/s00229-002-0311-y

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