Calculus of Variations and Geometric Measure Theory
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V. Franceschi - F. Montefalcone - R. Monti

CMC spheres in the Heisenberg group

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


Accepted Paper

Inserted: 28 nov 2016
Last Updated: 20 sep 2019

Journal: Analysis and Geometry in Metric Spaces
Year: 2019


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.


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