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Möbius automorphisms of surfaces with many circles
Published online by Cambridge University Press: 02 September 2020
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.
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- © Canadian Mathematical Society 2020
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