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math.AP2010
A Liouville type theorem for Carnot groups
Alessandro Ottazzi, Ben Warhurst
L. Capogna and M. Cowling showed that if is 1-quasiconformal on an open subset of a Carnot group G, then composition with preserves Q-harmonic functions, where Q denotes th…
math.DG2010
Contact and 1-quasiconformal maps on Carnot groups
A. Ottazzi, B. Warhurst
We characterize the rigidity of Carnot groups in the class of contact maps in terms of complex characteristics. Furthermore, we obtain a Liouville type theorem for Carnot gro…