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Quantitative isoperimetric inequalities in H^n (1503.06587v1)
Published 23 Mar 2015 in math.OC and math.MG
Abstract: In the Heisenberg group Hn, we prove quantitative isoperimetric inequalities for Pansu's spheres, that are known to be isoperimetric under various assumptions. The inequalities are shown for suitably restricted classes of competing sets and the proof relies on the construction of sub-calibrations.
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