Quasicircles and the conformal group

Benoist, Yves; Hulin, Dominique

doi:10.1090/ecgd/303

Quasicircles and the conformal group
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by Yves Benoist and Dominique Hulin PDF

Conform. Geom. Dyn. 20 (2016), 282-302 Request permission

Abstract:

We prove that a Jordan curve in the 2-sphere is a quasicircle if and only if the closure of its orbit under the action of the conformal group contains only points and Jordan curves.

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