The area of the complement of a conformally rigid domain
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- by Marius Overholt PDF
- Proc. Amer. Math. Soc. 103 (1988), 448-450 Request permission
Abstract:
A hyperbolic subdomain $D$ of ${\mathbf {\hat C}}$ is said to be (conformally) rigid if any conformal map from $D$ into ${\mathbf {\hat C}}$ is either a Möbius transformation, or has Schwarzian norm larger than a positive constant depending on $D$ only. We show that the complement of a conformally rigid domain has zero area.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 448-450
- MSC: Primary 30C55
- DOI: https://doi.org/10.1090/S0002-9939-1988-0943064-3
- MathSciNet review: 943064