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Projectively flat Randers metrics with constant flag curvature

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Abstract.

 We classify locally projectively flat Randers metrics with constant Ricci curvature and obtain a new family of Randers metrics of negative constant flag curvature.

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Authors and Affiliations

  1. Mathematics Department, 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: 19 July 2001 / Revised version: 15 March 2002 / Published online: 16 October 2002

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Shen, Z. Projectively flat Randers metrics with constant flag curvature. Math. Ann. 325, 19–30 (2003). https://doi.org/10.1007/s00208-002-0361-1

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  • DOI: https://doi.org/10.1007/s00208-002-0361-1

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