Holomorphic quadratic differentials and the Bernstein problem in Heisenberg space

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dc.creatorFernandez, Isabel
dc.creatorMira, Pablo
dc.date2007-05-10
dc.date2007-10-09
dc.date.accessioned2026-07-07T08:34:32Z
dc.date.available2026-07-07T08:34:32Z
dc.descriptionWe classify the entire minimal vertical graphs in the 3 dimensional Heisenberg group Nil endowed with a Riemannian left-invariant metric. This classification, which provides a solution to the Bernstein problem in Nil, is given in terms of the Abresch-Rosenberg holomorphic differential for minimal surfaces in Nil.
dc.description17 pages, 1 figure, revised version
dc.identifierhttps://arxiv.org/abs/0705.1436
dc.identifierhttp://arxiv.org/abs/0705.1436
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139468
dc.subjectDifferential Geometry
dc.subject53A10
dc.titleHolomorphic quadratic differentials and the Bernstein problem in Heisenberg space
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