Rigidity of quasiconformal maps on Carnot groups
classification
🧮 math.CV
math.GR
keywords
groupscarnotmapsquasiconformalrigiditybilipschitzcasecurved
read the original abstract
We show that quasiconformal maps on many Carnot groups must be biLipschitz. In particular, this is the case for 2-step Carnot groups with reducible first layer. These results have implications for the rigidity of quasiisometries between negatively curved solvable Lie groups.
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