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Characterization of planar domains onto which a unit disk can be mapped with constant singul...
It can be shown that there are (smoothly bounded, Jordan) domains $E\subset \mathbb{R}^2$ which are $\textit{not}$ images of mappings $f$ from the unit disk (or any other planar domain), such that $\m …
1
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Is there a volume-preserving diffeomorphism of the disk with prescribed singular values?
Did you find out the answer to the original question ?
I came across this* work (pg. 775, conjecture 7.1) where precisely that question is formulated as a conjecture (I ignore whether or not the autho …