Stability of Heisenberg Isoperimetric Profiles

Mathematics – Metric Geometry

Scientific paper

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29 pages

Scientific paper

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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