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| 摘要: |
| 本文研究了射影平坦芬斯勒度量的构造问题.通过分析射影平坦的球对称的芬斯勒度量的方程的解，构造了一类新的射影平坦的芬斯勒度量，并得到了射影平坦的球对称的芬斯勒度量的射影因子和旗曲率. |
| 关键词: 射影平坦 芬斯勒度量 球对称 射影因子 旗曲率 |
| DOI： |
| 分类号:O186.1 |
| 基金项目:Supported by the National Natural Science Foundation of China (11071005); the Research Culture Funds of Anhui Normal University (2016XJJ017). |
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| A CLASS OF PROJECTIVELY FLAT SPHERICALLY SYMMETRIC FINSLER METRICS |
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CHEN Ya-li,SONG Wei-dong
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| Abstract: |
| In this paper, we investigate the construction of projectively flat Finsler metrics. By analysing the solution of the spherically symmetric projectively flat equation, we construct new examples of projectively flat Finsler metrics, and obtain the projective factor and flag curvature of spherically symmetric Finsler metrics to be projectively flat. |
| Key words: projectively flat Finsler metric spherically symmetric projective factor flag curvature |
