CMC Spheres in the Heisenberg Group

Analysis and Geometry in Metric Spaces

Franceschi Valentina¹  Montefalcone Francescopaolo²  Monti Roberto² 

[1] Fondation Mathématiques Jacques Hadamard&IMO, Université Paris Sud, 15 Rue Georges Clemenceau, 91400Orsay, France;Università di Padova, Dipartimento di Matematica, via Trieste 63, 35121Padova, Italy;

关键词: constant mean curvature surfaces;    heisenberg group;    isoperimetric problem;    49q10;    53a10;   

DOI  :  10.1515/agms-2019-0006

来源: DOAJ

【 摘 要 】

We study a family of spheres with constant mean curvature (CMC) in the Riemannian Heisenberg group H1. These spheres are conjectured to be the isoperimetric sets of H1. We prove several results supporting this conjecture. We also focus our attention on the sub-Riemannian limit.

【 授权许可】

Unknown