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arXiv 1702.03328math.GT
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Clifford平行性的自同构刻画

A characterization of Clifford parallelism by automorphisms

Rainer Löwen

摘要:

Betten和Riesinger证明了实射影空间上的Clifford平行性是唯一一个在维数至少为5的群下左不变的拓扑平行性。我们将约束提高到4。允许一组维度为3的不同平行性的例子是已知的,因此3是“临界维度”。

英文摘要:

Betten and Riesinger have shown that Clifford parallelism on real projective space is the only topological parallelism that is left invariant by a group of dimension at least 5. We improve the bound to 4. Examples of different parallelisms admitting a group of dimension 3 are known, so 3 is the "critical dimension".

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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