Commentarii Mathematici Helvetici
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Published online: 2012-10-10
A rigidity property of some negatively curved solvable Lie groupsNageswari Shanmugalingam and Xiangdong Xie (1) University of Cincinnati, USA
We show that for some negatively curved solvable Lie groups, all self quasiisometries are almost isometries. We prove this by showing that all self quasisymmetric maps of the ideal boundary (of the solvable Lie groups) are biLipschitz with respect to the visual metric.
Keywords: Quasiisometry, quasisymmetric map, negatively curved solvable Lie groups
Shanmugalingam Nageswari, Xie Xiangdong: A rigidity property of some negatively curved solvable Lie groups. Comment. Math. Helv. 87 (2012), 805-823. doi: 10.4171/CMH/269