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math.MG2011★ 7 cited
The Grushin plane and quasiconformal Jacobians
William Meyerson
We construct a quasiconformal map from the Grushin plane to the Euclidean plane. Then, we generalize the Grushin plane slightly and explain how the Grushin plane can serve as an in…
math.MG2010★ 1 cited
Lipschitz and biLipschitz Maps on Carnot Groups
William Meyerson
Suppose A is an open subset of a Carnot group G, where G has a discrete analogue, and H is another Carnot group. We show that a Lipschitz function from A to H whose image has posit…