Quasisymmetric Maps on the Boundary of a Negatively Curved Solvable Lie Group
classification
🧮 math.GR
math.CV
keywords
groupsolvableboundarycurvedmapsnegativelyquasisymmetricapplications
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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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