CMC Spheres in the Heisenberg Group-Reference-Cited by-同舟云学术

CMC Spheres in the Heisenberg Group

Published:2019-01-01 Issue:1 Volume:7 Page:109-129
ISSN:2299-3274
Container-title:Analysis and Geometry in Metric Spaces
language:
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Author:

Franceschi Valentina,Montefalcone Francescopaolo,Monti Roberto

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/agms-2019-0006/pdf

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