@article{cc20e2fef14144e6aeb29c6574981b22,
title = "Umbilicity and characterization of Pansu spheres in the Heisenberg group",
abstract = "For every n ≥ 2 we define a notion of umbilicity for hypersurfaces in the Heisenberg group Hn. We classify umbilic hypersurfaces in some cases, and prove that Pansu spheres are the only umbilic spheres with positive constant p-mean (or horizontal-mean) curvature in Hn up to Heisenberg translations.",
author = "Cheng, {Jih Hsin} and Chiu, {Hung Lin} and Hwang, {Jenn Fang} and Paul Yang",
note = "Funding Information: Jih-Hsin Cheng, Hung-Lin Chiu, and Jenn-Fang Hwang would like to thank the Ministry of Science and Technology of Taiwan for the support of the following research projects: NSC 101-2115-M-001-015-MY3, NSC 100-2628-M-008-001-MY4, and NSC 102-2115-M-001-003-MY2, respectively. Paul Yang would like to thank the NSF of the United States for the grant DMS-1104536. Publisher Copyright: {\textcopyright} 2015 De Gruyter.",
year = "2015",
doi = "10.1515/crelle-2015-0044",
language = "English (US)",
volume = "2015",
pages = "203--235",
journal = "Journal fur die Reine und Angewandte Mathematik",
issn = "0075-4102",
publisher = "Walter de Gruyter GmbH & Co. KG",
}