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CMC Spheres in the Heisenberg Group
- Source :
- Analysis and Geometry in Metric Spaces, Vol 7, Iss 1, Pp 109-129 (2019)
- Publication Year :
- 2019
- Publisher :
- De Gruyter, 2019.
-
Abstract
- We study a family of spheres with constant mean curvature (CMC) in the Riemannian Heisenberg group H1. These spheres are conjectured to be the isoperimetric sets of H1. We prove several results supporting this conjecture. We also focus our attention on the sub-Riemannian limit.
Details
- Language :
- English
- ISSN :
- 22993274
- Volume :
- 7
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Analysis and Geometry in Metric Spaces
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.40d427797114dd6b32bd009ea946e1e
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/agms-2019-0006