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Möbius automorphisms of surfaces with many circles

Published online by Cambridge University Press:  02 September 2020

Niels Lubbes*
Affiliation:
Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Vienna, Austria

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.

Type
Article
Copyright
© Canadian Mathematical Society 2020

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