The explicit structure of projectively flat Finsler metrics with three parameters

LIU Jin-meng; SONG Wei-dong

doi:10.3969/j.issn.1000-5641.2018.03.004

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May 2018

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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 Sciences), 2018, (3): 30-37. doi: 10.3969/j.issn.1000-5641.2018.03.004

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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 Sciences), 2018, (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

doi: 10.3969/j.issn.1000-5641.2018.03.004

LIU Jin-meng,
SONG Wei-dong^,

School of Mathematics & Computer Science, Anhui Normal University, Wuhu Anhui 241000, China

Received Date: 2017-04-24
Publish Date: 2018-05-25

Abstract

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.
- Finsler metrics,
- projectively flat,
- projectively factor

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References(11)

References

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