Jih-Hsin Cheng, Hung-Lin Chiu, Jenn-Fang Hwang, Paul Yang
Published 2014-06-10, updated 2015-04-20Version 2
For $n\geq 2$ 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 the only umbilic spheres with positive constant $p$(or horizontal)-mean curvature in $H_{n}$ up to Heisenberg translations.
Comments: 32 pages, 2 figures; in Crelle's journal, 2015
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