A fibered Tukia theorem for nilpotent Lie groups
Group Theory
2023-05-26 v1 Complex Variables
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].
Cite
@article{arxiv.2305.16149,
title = {A fibered Tukia theorem for nilpotent Lie groups},
author = {Tullia Dymarz and David Fisher and Xiangdong Xie},
journal= {arXiv preprint arXiv:2305.16149},
year = {2023}
}
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26 pages