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| 局部对称仿射超曲面 | |
| 引用本文： | 张廷枋. 局部对称仿射超曲面[J]. 数学研究, 1995, 28(3): 74-80 |
| 作者姓名： | 张廷枋 |
| 作者单位： | 南平师专数学系 |
| 摘 要： | 本文用活动标架法证明了：仿射空间Ａｎ＋１中维数ｎ大于２的非退化超曲面Ｍｎ，相对于诱导的仿射连络局部对称，当且仅当Ｍ是虚（ｉｍｐｒｏｐｅｒ）仿射球或者是非退化的二次超曲面． |
| 关 键 词： | 局部对称，仿射球 |
^Locally Symmetric Affine Hypersurfaces |
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| Zhang Tingfang. ^Locally Symmetric Affine Hypersurfaces[J]. Journal of Mathematical Study, 1995, 28(3): 74-80 | |
| Authors: | Zhang Tingfang |
| Affiliation: | Nang Ping Teachers Normal Schools 353000 |
| Abstract: | Using the method of Moving frames this paper has proved P.Verheyen and L.Verstraelen's Theorem on the locally symmetric affine hypersufaces: Let M be a nondegenerate of An 1 with n>2.Then M is affine locally symmetric w. r. t the induced connection if and only if M is an improper affine hypersphere or a nondegenerate quadratic gypersurface. |
| Keywords: | Locally symmetric Affine hypersphere |
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