| 关于Clifford交比及其应用 |
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| 引用本文： | 蒋月评. 关于Clifford交比及其应用[J]. 湖南大学学报(自然科学版), 1993, 20(2) |
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| 作者姓名： | 蒋月评 |
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| 作者单位： | 湖南大学应用数学系 |
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| 摘 要： | 本文定义了Clifford交比,得到了n维空间的同胚为保向Mobius变换的充要条件和n维空间中四点共圆(或直线)的充要条件,并证明了Clifford交比的实部是n维保向Mobius变换的一个不变量.
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| 关 键 词： | 交比 Mobius变换 不变量/Clifford代数 |
On Clifford Cross-Ration and Its Application |
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| Jiang Yueping. On Clifford Cross-Ration and Its Application[J]. Journal of Hunan University(Naturnal Science), 1993, 20(2) |
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| Authors: | Jiang Yueping |
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| Affiliation: | Department of Applied Mathematics |
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| Abstract: | By introducing Clifford cross-ration, we have given in this paper a suffiecent and necessary condition for that a homomorphism of R~n to R~n is a orientationperserving Mobius transtormation. It is proved that the real part of Clifford cross-ration is an invariant of an orientation-perserving Mobius transtormation. |
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| Keywords: | cross-ration Mobius function invariants/Clifford algebia |
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