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arXiv · 2305.16149

A fibered Tukia theorem for nilpotent Lie groups

Tullia Dymarz·David Fisher·Xiangdong Xie
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Abstract

We establish a Tukia-type theorem for uniform quasiconformal groups of a Carnot group. More generally we establish a fiber bundle version (or foliated version) of Tukia theorem for uniform quasiconformal groups of a nilpotent Lie group whose Lie algebra admits a diagonalizable derivation with positive eigenvalues. These results have applications to quasi-isometric rigidity of solvable groups [DFX].

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Tullia Dymarz, David Fisher, Xiangdong Xie. 2023-04-25. A fibered Tukia theorem for nilpotent Lie groups. https://arxiv.org/abs/2305.16149

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