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Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
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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 …