| 具有可反测地线的$(\alpha,\beta)$-度量 |
| |
| 引用本文： | 刘丽红,陈光祖.具有可反测地线的$(\alpha,\beta)$-度量[J].数学研究及应用,2016,36(5):568-574. |
| |
| 作者姓名： | 刘丽红 陈光祖 |
| |
| 作者单位： | 华东交通大学理学院数学系, 江西 南昌 330013,华东交通大学理学院数学系, 江西 南昌 330013 |
| |
| 基金项目： | 国家自然科学基金(Grant No.11471246), 江西省科技厅青年项目(Grant No.20161BAB211021). |
| |
| 摘 要： | 本文我们得到了$(\alpha,\beta)$-度量的测地系数$G^{i}(x,y)$和其逆$G^{i}(x,-y)$有相同Douglas曲率的充分必要条件.这个充分必要条件恰好是$(\alpha,\beta)$-度量具有可反测地线的充分必要条件.
|
| 关 键 词： | $(\alpha \beta)$-度量 测地系数 可反的测地线 Douglas曲率 |
| 收稿时间： | 2015/10/1 0:00:00 |
| 修稿时间： | 2016/1/13 0:00:00 |
On $(\alpha,\beta)$-Metrics with Reversible Geodesics |
| |
| Lihong LIU and Guangzu CHEN.On $(\alpha,\beta)$-Metrics with Reversible Geodesics[J].Journal of Mathematical Research with Applications,2016,36(5):568-574. |
| |
| Authors: | Lihong LIU and Guangzu CHEN |
| |
| Institution: | School of Science, East China JiaoTong University, Jiangxi 330013, P. R. China and School of Science, East China JiaoTong University, Jiangxi 330013, P. R. China |
| |
| 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. |
| |
| Keywords: | $(\alpha \beta)$-metric geodesic coefficient reversible geodesic Douglas curvature |
|
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
|
