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Rigidity of Local Quasisymmetric Maps on Fibered Spaces

Rigidity of Local Quasisymmetric Maps on Fibered Spaces

We give conditions under which a ber-preserving quasisymmetric map between open subsets of bered metric spaces is locally biLipschitz.We also show that a quasiconformal map between open subsets of -step Carnot groups with reducible rst layer is locally biLipschitz.