Möbius automorphisms of surfaces with many circles
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 Möbius automorphism group of dimension at least two. Our theorem generalizes the classical classification of Dupin cyclides.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2019
- DOI:
- 10.48550/arXiv.1905.06582
- arXiv:
- arXiv:1905.06582
- Bibcode:
- 2019arXiv190506582L
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - Metric Geometry;
- 14J50;
- 51B10;
- 51N30;
- 14C20
- E-Print:
- Can. J. Math.-J. Can. Math. 74 (2022) 42-71