3 papers
math.DG2024
Singular Solutions for the Conformal Dirac-Einstein Problem on the Sphere
Ali Maalaoui, Vittorio Martino, Tian Xu
In this paper we investigate the existence of singular solutions to the conformal Dirac-Einstein system. Because of its conformal invariance, there are many similarities with the c…
math.AP2023
Overdetermined problems for gauge balls in the Heisenberg group
Vittorio Martino, Giulio Tralli
In this paper we aim at characterizing the gauge balls in the Heisenberg group as the only domains where suitable overdetermined problems of Serrin type can be solve…
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.…