| Finsler流形中测地线与全测地子流形的几个性质 |
| |
| 引用本文： | 聂智.Finsler流形中测地线与全测地子流形的几个性质[J].西南师范大学学报(自然科学版),1999,24(2):145-150. |
| |
| 作者姓名： | 聂智 |
| |
| 作者单位： | 西南师范大学数学系!重庆400715 |
| |
| 摘 要： | 证明了Finsler流形中陈联络下的测地线与平均曲率下测地线的一致性,并指出(M,F)中测地线在对应(M,gY)中也是测地线;同时给出了Finsler流形中有关全测地子流形的性质,指出了Finsler全测地与对应Riemann全测地的关系.
|
| 关 键 词： | 平均曲率 法曲率 测地线 全测地子流形 |
On some properties of geodesic and totally geodesic submanifold in Finsler manifold |
| |
| Nie,Zhi.On some properties of geodesic and totally geodesic submanifold in Finsler manifold[J].Journal of Southwest China Normal University(Natural Science),1999,24(2):145-150. |
| |
| Authors: | Nie Zhi |
| |
| Abstract: | The equivalence of geodesic of chern connection and mean curvature in Finsler geometry is proved. It is pointed out that geodesic in ( , ) is also geodesic in ( , Y ). At the same time, the properties about totally geodesic submanifolds in Finsler manifolds is given. The relationship between Finsler totally geodesic and Riemann totally geodesic is also pointed out. |
| |
| Keywords: | mean curvature normal curvature geodesic totally geodesic submanifold |
| 本文献已被 CNKI 维普 等数据库收录！ |
