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math.MG2010
Isodiametric sets in the Heisenberg group
Gian Paolo Leonardi, Severine Rigot, Davide Vittone
In the sub-Riemannian Heisenberg group equipped with its Carnot-Caratheodory metric and with a Haar measure, we consider isodiametric sets, i.e. sets maximizing the measure among a…
math.MG2010
Isodiametric inequality in Carnot groups
Severine Rigot
The classical isodiametric inequality in the Euclidean space says that balls maximize the volume among all sets with a given diameter. We consider in this paper the case of Carnot…