Stability of Heisenberg Isoperimetric Profiles

Published 4 Oct 2011 in math.MG and math.DG | (1110.0707v2)

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.

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Francescopaolo Montefalcone

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