| On $(\alpha,\beta)$-Metrics with Reversible Geodesics |
| Received:October 01, 2015 Revised:January 13, 2016 |
| Key Words:
$(\alpha,\beta)$-metric geodesic coefficient reversible geodesic Douglas curvature
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11471246) and the Jiangxi Provincial Science and Technology Project (Grant No.20161BAB211021). |
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| Abstract: |
| In this paper, we get necessary and sufficient conditions for a Finsler space endowed with an $(\alpha,\beta)$-metric where its geodesic coefficients $G^{i}(x,y)$ and the reverse of geodesic coefficients $G^{i}(x,-y)$ have the same Douglas curvature. They are the conditions such that $(\alpha,\beta)$-metrics have reversible geodesics. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2016.05.008 |
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