67 citations · 84 across the 18 of their papers we have counts for
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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.AP2010
Multicontact mappings on Hessenberg manifolds
Alessandro Ottazzi
This thesis was inspired by work of M. Cowling, F. De Mari, A. Koranyi and M. Reimann, who studied multicontact structures for the homogeneous manifolds G/P, where G is a semisimpl…
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…