# CMC spheres in the Heisenberg group

created by monti on 28 Nov 2016
modified on 20 Sep 2019

[BibTeX]

Accepted Paper

Inserted: 28 nov 2016
Last Updated: 20 sep 2019

Journal: Analysis and Geometry in Metric Spaces
Year: 2019

Abstract:

We study a family of spheres with constant mean curvature (CMC) in the Riemannian Heisenberg group $H^1$. These spheres are conjectured to be the isoperimetric sets of $H^1$. We prove several results supporting this conjecture. We also focus our attention on the sub-Riemannian limit.