Umbilicity and characterization of Pansu spheres in the Heisenberg group

Jih Hsin Cheng, Hung Lin Chiu, Jenn Fang Hwang, Paul Yang

Research output: Contribution to journalArticle

2 Scopus citations

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.

Original languageEnglish (US)
JournalJournal fur die Reine und Angewandte Mathematik
Volume2015
DOIs
StatePublished - Jan 1 2015

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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