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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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dc.contributor.authorCheng, Jih-Hsin-
dc.contributor.authorChiu, Hung-Lin-
dc.contributor.authorHwang, Jenn-Fang-
dc.contributor.authorYang, Paul C.-
dc.date.accessioned2019-04-05T20:35:49Z-
dc.date.available2019-04-05T20:35:49Z-
dc.date.issued2018-05en_US
dc.identifier.citationCheng, 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-2015-0044en_US
dc.identifier.issn0075-4102-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1nx2b-
dc.description.abstractFor 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.en_US
dc.format.extent203 - 235en_US
dc.languageEnglishen_US
dc.language.isoen_USen_US
dc.relation.ispartofJOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIKen_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titleUmbilicity and characterization of Pansu spheres in the Heisenberg groupen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1515/crelle-2015-0044-
dc.date.eissued2015-09-16en_US
dc.identifier.eissn1435-5345-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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