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Results tagged with conformal-geometry
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user 1162
4
votes
Accepted
A Generalization of the Ahlfors function to have varying degrees?
The answer to your question is yes. Indeed, one can replace $\mathbb{D}$ with the right half plane, applying a Mobius transformation. Then the argument is quite simple if you are familiar with the fol …
- 2,154
10
votes
1
answer
372
views
On the conformal removability of Jordan curves
We say that a compact subset $E$ of the Riemann sphere $\mathbb{C}_\infty$ is (conformally) removable if every homeomorphism of $\mathbb{C}_\infty$ conformal outside $E$ is actually conformal everywhe …
- 2,154