English

A characterization of Clifford parallelism by automorphisms

Geometric Topology 2018-11-28 v1

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".

Keywords

Cite

@article{arxiv.1702.03328,
  title  = {A characterization of Clifford parallelism by automorphisms},
  author = {Rainer Löwen},
  journal= {arXiv preprint arXiv:1702.03328},
  year   = {2018}
}
R2 v1 2026-06-22T18:15:20.611Z