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

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

2009-12-31

arxiv.org/abs/1001.0148v1

Mathematics

Group Theory

Scientific paper

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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