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math.MG2016
Isoperimetric inequalities in unbounded convex bodies
Gian Paolo Leonardi, Manuel Ritoré, Efstratios Vernadakis
We consider the problem of minimizing the relative perimeter under a volume constraint in an unbounded convex body , without assuming any further regular…
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…