Umbilicity and characterization of Pansu spheres in the Heisenberg group

Jih-Hsin Cheng, Hung-Lin Chiu, Jenn-Fang Hwang +1

For $n\ge 2$ we define a notion of umbilicity for hypersurfaces in the Heisenberg group $H_n$. We classify umbilic hypersurfaces in some cases, and prove that Pansu spheres are…