English

On automorphism groups of toroidal circle planes

Geometric Topology 2026-03-17 v1

Abstract

Schenkel proved that the automorphism group of a flat Minkowski plane is a Lie group of dimension at most 6 and described planes whose automorphism group has dimension at least 4 or one of whose kernels has dimension 3. We extend these results to the case of toroidal circle planes.

Keywords

Cite

@article{arxiv.1710.03860,
  title  = {On automorphism groups of toroidal circle planes},
  author = {Brendan Creutz and Duy Ho and Günter F. Steinke},
  journal= {arXiv preprint arXiv:1710.03860},
  year   = {2026}
}
R2 v1 2026-06-22T22:09:34.103Z