4 papers
Polarised Lie groups contactomorphic to stratified groups
Sebastiano Nicolussi, Alessandro Ottazzi
For a stratified group , we construct a class of polarised Lie groups, which we call modifications of , that are locally contactomorphic to it. Vice versa, we show that if a…
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…
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…
Isometries of Carnot groups and subFinsler homogeneous manifolds
Enrico Le Donne, Alessandro Ottazzi
We show that isometries between open sets of Carnot groups are affine. This result generalizes a result of Hamenstadt. Our proof does not rely on her proof. In addition, we study g…