Work

A fibered Tukia theorem for nilpotent Lie groups

Year: 2023

Type: article

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].

Source: Annales Fennici Mathematici

DOI: 10.54330/afm.137788

Authors: Tullia Dymarz, David Fisher, Xiangdong Xie

Institutions: University of Wisconsin–Madison, Rice University, Bowling Green State University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Science Foundation

Awards: CAREER: Metric Geometry of Solvable Groups, Group Actions and Rigidity, Rigidity in Dynamics and Geometry