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A partial solution of the isoperimetric problem for the Heisenberg group
2008
Forum mathematicum
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We provide a solution to the isoperimetric problem in the Heisenberg group H n when the competing sets belong to a restricted class of C 2 graphs. Within this restricted class we characterize the isoperimetric profiles as the bubble sets (1.5) (modulo nonisotropic dilations and left-translations). We also compute the isoperimetric constant.
doi:10.1515/forum.2008.005
fatcat:cldvcfrcgnhgzcnokwz25yu63i