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arXiv · 1203.4535

Transitive bi-Lipschitz group actions and bi-Lipschitz parameterizations

David M. Freeman
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Abstract

We prove that Ahlfors 2-regular quasisymmetric images of the Euclidean plane are bi-Lipschitz images of the plane if and only if they are uniformly bi-Lipschitz homogeneous with respect to a group. We also prove that certain geodesic spaces are bi-Lipschitz images of Carnot groups if they are inversion invariant bi-Lipschitz homogeneous with respect to a group.

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David M. Freeman. 2012-03-20. Transitive bi-Lipschitz group actions and bi-Lipschitz parameterizations. https://arxiv.org/abs/1203.4535

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