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arXiv · 1308.3034

Some examples of quasiisometries of nilpotent Lie groups

Xiangdong Xie
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Abstract

We construct quasiisometries of nilpotent Lie groups. In particular, for any simply connected nilpotent Lie group N, we construct quasiisometries from N to itself that is not at finite distance from any map that is a composition of left translations and automorphisms. We also construct biLipschitz maps of the Heisenberg groups that send vertical lines to non-vertical curves.

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Xiangdong Xie. 2014-03-08. Some examples of quasiisometries of nilpotent Lie groups. https://arxiv.org/abs/1308.3034

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