1University of Wisconsin-Madison, Department of Mathematics 2Rice University, Department of Mathematics 3Bowling Green State University, Department of Mathematics and Statistics
Annales Fennici Mathematici, Tome 48 (2023) no. 2, pp. 653-680
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].
1
University of Wisconsin-Madison, Department of Mathematics
2
Rice University, Department of Mathematics
3
Bowling Green State University, Department of Mathematics and Statistics
Tullia Dymarz; David Fisher; Xiangdong Xie. A fibered Tukia theorem for nilpotent Lie groups. Annales Fennici Mathematici, Tome 48 (2023) no. 2, pp. 653-680. doi: 10.54330/afm.137788
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