| 特殊Finsler空间的测地映射 |
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| 引用本文： | 魏献祝. 特殊Finsler空间的测地映射[J]. 厦门大学学报(自然科学版), 2005, 44(2): 151-154 |
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| 作者姓名： | 魏献祝 |
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| 作者单位： | 泉州师范学院数学系,福建,泉州,362000 |
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| 基金项目： | 福建省科技三项费用项目(K2001107)资助 |
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| 摘 要： | 常曲率Finsler、局部Minkowski空间的测地映射是Finsler几何的重要问题。本首先获得了在Finsler空间测地映射下，常曲率Finsler空间保持不变的充要条件并推导了局部Minkowski空间经Finsler空间的测地映射仍然是局部Minkowski空间的充要条件，此外还推导出在测地映射下，Berwald空间等保持不变的新的充要条件．
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| 关 键 词： | 测地映射 常曲率 零曲率 局部Minkowski空间 Berwald空间 Finsler空间 |
| 文章编号： | 0438-0479(2005)02-0151-04 |
| 修稿时间： | 2003-12-25 |
On Geodesic Mapping of Special Finsler Spaces |
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| WEI Xian-zhu. On Geodesic Mapping of Special Finsler Spaces[J]. Journal of Xiamen University(Natural Science), 2005, 44(2): 151-154 |
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| Authors: | WEI Xian-zhu |
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| Abstract: | Geodesic mapping of special Finsler spaces is important in Finsler geometry than in Riemannian geometry.The purpose of this paper is to give some conditions which a Finsler space of constant curvature remains to be a Finsler space of constant curvature by a geodesic mapping of Finsler space.Then the author give some conditions which a geodesic mapping of a locally Minkowski space is locally Minkowski space.Finally Bewald space remains to be Berwald space by a geodesic mapping of Finsler space is discussed. |
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| Keywords: | geodesic mapping constant curvature zero curvature locally Minkowski space Berwald space Finsler space |
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