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- W2178018963 abstract "A circle domain $Omega$ in the Riemann sphere is conformally rigid if every conformal map of $Omega$ onto another circle domain is the restriction of a M{o}bius transformation. We show that two rigidity conjectures of He and Schramm are in fact equivalent, at least for a large family of circle domains. The proof follows from a result on the removability of countable unions of certain conformally removable sets. We also introduce trans-quasiconformal deformation of Schottky groups to prove that a circle domain is conformally rigid if and only if it is quasiconformally rigid, thereby providing new evidence for the aforementioned conjectures." @default.
- W2178018963 created "2016-06-24" @default.
- W2178018963 creator A5078610282 @default.
- W2178018963 date "2015-11-23" @default.
- W2178018963 modified "2023-09-27" @default.
- W2178018963 title "Removability, rigidity of circle domains and Koebe's Conjecture" @default.
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