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

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Submitted Paper

Inserted: 28 nov 2016
Last Updated: 28 nov 2016

Year: 2016

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.


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