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math.MG2018
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…
math.MG2012
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…