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arXiv · 1611.09215

CMC spheres in the Heisenberg group

Valentina Franceschi·Francescopaolo Montefalcone·Roberto Monti
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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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Valentina Franceschi, Francescopaolo Montefalcone, Roberto Monti. 2016-11-24. CMC spheres in the Heisenberg group. https://doi.org/10.1515/agms-2019-0006

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