M\"obius automorphisms of surfaces with many circles
Algebraic Geometry
2023-06-22 v2 Metric Geometry
Abstract
We classify real two-dimensional orbits of conformal subgroups such that the orbits contain two circular arcs through a point. Such surfaces must be toric and admit a M\"obius automorphism group of dimension at least two. Our theorem generalizes the classical classification of Dupin cyclides.
Cite
@article{arxiv.1905.06582,
title = {M\"obius automorphisms of surfaces with many circles},
author = {Niels Lubbes},
journal= {arXiv preprint arXiv:1905.06582},
year = {2023}
}