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arXiv · 1702.03328

A characterization of Clifford parallelism by automorphisms

Rainer Löwen
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Abstract

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".

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Rainer Löwen. 2017-02-10. A characterization of Clifford parallelism by automorphisms. https://doi.org/10.2140/iig.2019.17.43

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