Examples of area-minimizing surfaces in the subriemannian Heisenberg group H^1 with low regularity

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dc.creatorRitoré, Manuel
dc.date2008-03-10
dc.date.accessioned2026-07-07T09:25:54Z
dc.date.available2026-07-07T09:25:54Z
dc.descriptionWe give new examples of entire area-minimizing t-graphs in the subriemannian Heisenberg group H^1. Most of the examples are locally lipschitz in Euclidean sense. Some regular examples have prescribed singular set consisting of either a horizontal line or a finite number of horizontal halflines extending from a given point. Amongst them, a large family of area-minimizing cones is obtained.
dc.description14 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0803.1314
dc.identifierhttp://arxiv.org/abs/0803.1314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156564
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53C17; 40Q29
dc.titleExamples of area-minimizing surfaces in the subriemannian Heisenberg group H^1 with low regularity
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