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math.DG2018
Conformal and CR mappings on Carnot groups
Michael G. Cowling, Ji Li, Alessandro Ottazzi +1
We consider a class of stratified groups with a CR structure and a compatible control distance. For these Lie groups we show that the space of conformal maps coincide with the spac…
math.DG2017
On the codimension of the abnormal set in step two Carnot groups
Alessandro Ottazzi, Davide Vittone
In this article we prove that the codimension of the abnormal set of the endpoint map for certain classes of Carnot groups of step 2 is at least three. Our result applies to all st…