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 are known, so 3 is the “critical dimension”.
Citation
Rainer Löwen. "A characterization of Clifford parallelism by automorphisms." Innov. Incidence Geom. Algebr. Topol. Comb. 17 (1) 43 - 46, 2019. https://doi.org/10.2140/iig.2019.17.43
Information