| 二维Finsler空间是共形平坦的若干判定条件 |
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| 引用本文： | 魏献祝,张纪平.二维Finsler空间是共形平坦的若干判定条件[J].数学进展,2005,34(1):73-79. |
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| 作者姓名： | 魏献祝 张纪平 |
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| 作者单位： | 泉州师范学院数学系,泉州,福建,362000 |
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| 基金项目： | 福建省科技厅资助项目(K2001107)
福建省财政厅资助项目(K2001107) |
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| 摘 要： | 本文利用Finsler约度量函数与度量张量获得了二维Finsler空间是共形平坦的若干令新的充要条件．此外，还推导了在共形映射下，局部Minkowski空间、常曲率Finsler空间与零曲率Finsler空间保持不变的新的充要条件．
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| 关 键 词： | 共形平坦 二维Finsler空间 局部Minkowski空间 共形映射 |
| 文章编号： | 1000-0917(2005)01-0073-07 |
| 修稿时间： | 2002年12月23 |
Some Decision Condition of Conformally Flat Finsler Space With Two-dimensional |
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| WEI Xian-zhu,ZHANG Ji-ping.Some Decision Condition of Conformally Flat Finsler Space With Two-dimensional[J].Advances in Mathematics,2005,34(1):73-79. |
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| Authors: | WEI Xian-zhu ZHANG Ji-ping |
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| Abstract: | The purpose of the present paper is to find the new conditions of a conformally flat Finsler space with two-dimensional in the form expressed in terms of the given metric and to give the condition that a locally Minkowski space remains to be a locally Minkowski space by a conformal changes of Finsler space. |
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| Keywords: | conformally flat two-dimensional Finsler space Minkowski space conformal change |
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