Umbilicity and characterization of Pansu spheres in the Heisenberg group
Author(s): Cheng, Jih-Hsin; Chiu, Hung-Lin; Hwang, Jenn-Fang; Yang, Paul C.
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http://arks.princeton.edu/ark:/88435/pr1nx2b| Abstract: | For every n >= 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-mean (or horizontal-mean) curvature in H-n up to Heisenberg translations. |
| Publication Date: | May-2018 |
| Electronic Publication Date: | 16-Sep-2015 |
| Citation: | Cheng, Jih-Hsin, Chiu, Hung-Lin, Hwang, Jenn-Fang, Yang, Paul. (2018). Umbilicity and characterization of Pansu spheres in the Heisenberg group. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 738 (203 - 235). doi:10.1515/crelle-2015-0044 |
| DOI: | doi:10.1515/crelle-2015-0044 |
| ISSN: | 0075-4102 |
| EISSN: | 1435-5345 |
| Pages: | 203 - 235 |
| Language: | English |
| Type of Material: | Journal Article |
| Journal/Proceeding Title: | JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK |
| Version: | Final published version. Article is made available in OAR by the publisher's permission or policy. |
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