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arXiv · 1001.0148

Quasisymmetric Maps on the Boundary of a Negatively Curved Solvable Lie Group

Xiangdong Xie
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Abstract

We describe all the self quasisymmetric maps on the ideal boundary of a particular negatively curved solvable Lie group. As applications, we prove a Liouville type theorem, and derive some rigidity properties for quasiisometries of the solvable Lie group.

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Xiangdong Xie. 2009-12-31. Quasisymmetric Maps on the Boundary of a Negatively Curved Solvable Lie Group. https://arxiv.org/abs/1001.0148

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