Journal of East China Normal University(Natural Science) >

2018 , Vol. 2018 >Issue 3: 30 - 37

DOI: https://doi.org/10.3969/j.issn.1000-5641.2018.03.004

The explicit structure of projectively flat Finsler metrics with three parameters

  • LIU Jin-meng ,
  • SONG Wei-dong
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  • School of Mathematics & Computer Science, Anhui Normal University, Wuhu Anhui 241000, China

Received date: 2017-04-24

  Online published: 2018-05-29

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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

Cite this article

LIU Jin-meng , SONG Wei-dong . The explicit structure of projectively flat Finsler metrics with three parameters[J]. Journal of East China Normal University(Natural Science), 2018 , 2018(3) : 30 -37 . DOI: 10.3969/j.issn.1000-5641.2018.03.004

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