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Stability of Heisenberg Isoperimetric Profiles

Metric Geometry 2011-11-18 v2 Differential Geometry

Abstract

In the context of sub-Riemannian Heisenberg groups Hn, n \geq 1, we shall study Isoperimetric Profiles, which are closed compact hypersurfaces having constant horizontal mean curvature, very similar to ellipsoids. Our main goal is to study the stability of Isoperimetric Profiles.

Keywords

Cite

@article{arxiv.1110.0707,
  title  = {Stability of Heisenberg Isoperimetric Profiles},
  author = {Francescopaolo Montefalcone},
  journal= {arXiv preprint arXiv:1110.0707},
  year   = {2011}
}

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29 pages