14 citations · 69 across the 29 of their papers we have counts for
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1-Quasiconformal maps on Carnot groups with reducible first layer
Xiangdong Xie
For the result on 1-quasiconformal maps, see the paper by Cowling and Ottazzi. The result on quasiconformal maps on Carnot groups with reducible first layer will appear in a forthc…
Quasiconformal maps on non-rigid Carnot groups
Xiangdong Xie
We study quasiconformal maps on non-rigid Carnot groups equipped with Carnot metric. We show that for most non-rigid Carnot groups N, all quasiconformal maps on N must be biLipschi…
Rigidity of quasiconformal maps on Carnot groups
Xiangdong Xie
We show that quasiconformal maps on many Carnot groups must be biLipschitz. In particular, this is the case for 2-step Carnot groups with reducible first layer. These results have…
Quasiconformal maps on model Filiform groups
Xiangdong Xie
We describe all quasiconformal maps on the higher (real and complex) model Filiform groups equipped with the Carnot metric, including non-smooth ones. These maps have very special…
Quasimobius maps preserve uniform domains
Xiangdong Xie
We show that if a domain D in a geodesic metric space is quasimobius to a uniform domain in some metric space, then D is also uniform.