| 一类对偶平坦的球对称的芬斯勒度量 |
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| 引用本文： | 陈亚力,宋卫东. 一类对偶平坦的球对称的芬斯勒度量[J]. 数学杂志, 2017, 37(1): 107-117 |
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| 作者姓名： | 陈亚力 宋卫东 |
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| 作者单位： | 安徽师范大学数学计算机科学学院, 安徽 芜湖 241000,安徽师范大学数学计算机科学学院, 安徽 芜湖 241000 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant 11071005). |
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| 摘 要： | 本文研究了对偶平坦的芬斯勒度量的构造问题.通过分析球对称的对偶平坦的芬斯勒度量的方程的解，我们构造了一类新的对偶平坦的芬斯勒度量，并得到了球对称的芬斯勒度量成为对偶平坦的充分必要条件.
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| 关 键 词： | 对偶平坦 芬斯勒度量 球对称 |
| 收稿时间： | 2014-07-02 |
| 修稿时间： | 2014-12-22 |
A CLASS OF DUALLY FLAT SPHERICALLY SYMMETRIC FINSLER METRICS |
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| CHEN Ya-li and SONG Wei-dong. A CLASS OF DUALLY FLAT SPHERICALLY SYMMETRIC FINSLER METRICS[J]. Journal of Mathematics, 2017, 37(1): 107-117 |
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| Authors: | CHEN Ya-li and SONG Wei-dong |
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| Affiliation: | School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China and School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China |
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| Abstract: | This paper investigates the construction of dually fieldat Finsler metrics. By analysing the solution of the spherically symmetric dually fieldat equation, we construct new examples of dually fieldat Finsler metrics, obtain necessary and su-cient conditions of the solution to be dually fieldat. |
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| Keywords: | dually fieldat Finsler metric spherically symmetric |
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