The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations

Simple item page
dc.creatorAdesi, V. Barone
dc.creatorCassano, F. Serra
dc.creatorVittone, D.
dc.date2006-08-03
dc.date.accessioned2026-07-07T07:21:22Z
dc.date.available2026-07-07T07:21:22Z
dc.descriptionIn this paper we deal with some problems concerning minimal hypersurfaces in Carnot-Caratheodory (CC) structures. More precisely we will introduce a general calibration method in this setting and we will study the Bernstein problem for entire regular intrinsic minimal graphs in a meaningful and simpler class of CC spaces, i.e. the Heisenberg group H^n. In particular we will positively answer to the Bernstein problem in the case n=1 and we will provide counterexamples when n>=5.
dc.identifierhttps://arxiv.org/abs/math/0608092
dc.identifierhttp://arxiv.org/abs/math/0608092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115276
dc.subjectClassical Analysis and ODEs
dc.subjectMetric Geometry
dc.titleThe Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations
dc.typetext

Files

Collections

arXiv