Journal of East China Normal University(Natural Sc ›› 2018, Vol. 2018 ›› Issue (3): 30-37.doi: 10.3969/j.issn.1000-5641.2018.03.004

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The explicit structure of projectively flat Finsler metrics with three parameters

LIU Jin-meng, SONG Wei-dong   

  1. School of Mathematics & Computer Science, Anhui Normal University, Wuhu Anhui 241000, China
  • Received:2017-04-24 Online:2018-05-25 Published:2018-05-29

Abstract: In this paper, projectively flat Finsler metrics are considered. A class of projectively flat Finsler metrics with three parameters are formed. Moreover, the sufficient and necessary conditions for the measurement to be considered projectively flat was obtained. In particular, the flag curvature expression of projectively flat Finsler metrics are presented.

Key words: Finsler metrics, projectively flat, projectively factor

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