Autor:	Franceschi, Valentina, Montefalcone, Francescopaolo, Monti, Roberto
Rok vydání:	2016
Předmět:	Mathematics - Metric Geometry Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
DOI:	10.1515/agms-2019-0006
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1611.09215 Zobrazit plný text záznamu View this record from Arxiv