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arXiv · 1905.06582

M\"obius automorphisms of surfaces with many circles

Niels Lubbes
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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.

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Niels Lubbes. 2019-05-16. M\"obius automorphisms of surfaces with many circles. https://doi.org/10.4153/s0008414x20000693

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