Convex isoperimetric sets in the Heisenberg group

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dc.creatorMonti, Roberto
dc.creatorRickly, Matthieu
dc.date2006-07-26
dc.date.accessioned2026-07-07T07:20:58Z
dc.date.available2026-07-07T07:20:58Z
dc.descriptionWe characterize convex isoperimetric sets in the Heisenberg group endowed with horizontal perimeter. We first prove Sobolev regularity for a certain class of vector fields in the plane with bounded variation, related to the curvature equations. Then, by an approximation-reparameterization argument, we show that the boundary of convex isoperimetric sets is foliated by geodesics of the Carnot-Caratheodory distance.
dc.identifierhttps://arxiv.org/abs/math/0607666
dc.identifierhttp://arxiv.org/abs/math/0607666
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115140
dc.subjectDifferential Geometry
dc.subjectClassical Analysis and ODEs
dc.titleConvex isoperimetric sets in the Heisenberg group
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