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arXiv · 2304.12498

A Tukia-type theorem for nilpotent Lie groups and quasi-isometric rigidity of solvable groups

Tullia Dymarz·David Fisher·Xiangdong Xie
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Abstract

In this paper we study uniform quasiconformal groups of Carnot-by-Carnot groups. We show that they can be conjugated into conformal groups provided the induced action on the space of distinct pairs is cocompact. Following the approach of Eskin-Fisher-Whyte these results have applications to quasi-isometric rigidity of certain solvable groups.

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Tullia Dymarz, David Fisher, Xiangdong Xie. 2023-04-24. A Tukia-type theorem for nilpotent Lie groups and quasi-isometric rigidity of solvable groups. https://arxiv.org/abs/2304.12498

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