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Rigidity of quasiconformal maps on Carnot groups
XIANGDONG XIE
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Source: Crossref
Published: Jun 6, 2016
DOI: 10.1017/s0305004116000487
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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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