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math.DG2022
A characterization of gauge balls in by horizontal curvature
Chiara Guidi, Vittorio Martino, Giulio Tralli
In this paper we aim at identifying the level sets of the gauge norm in the Heisenberg group via the prescription of their (non-constant) horizontal mean curvature.…
math.DG2019
Singular CR structures of constant Webster curvature and applications
Chiara Guidi, Ali Maalaoui, Vittorio Martino
We consider the sphere $\Sph^{2n+1}$ equipped with its standard CR structure. In this paper we construct explicit contact forms on $\Sph^{2n+1}\setminus \Sph^{2k+1}$, which are con…