A rigidity property of some negatively curved solvable Lie groups

作者：Shanmugalingam Nageswari^*; Xie Xiangdong

来源：Commentarii Mathematici Helvetici, 2012, 87(4): 805-823.

DOI：10.4171/CMH/269

• Quasiisometry
• quasisymmetric map
• negatively curved solvable Lie groups

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.

• 出版日期2012