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arXiv:1001.0148 [math.GR]AbstractReferencesReviewsResources

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

Xiangdong Xie

Published 2009-12-31Version 1

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.

Categories: math.GR, math.CV
Subjects: 20F65, 30C65, 53C20
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