Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group

Simple item page
dc.creatorDanielli, D.
dc.creatorGarofalo, N.
dc.creatorNhieu, D. M.
dc.creatorPauls, S. D.
dc.date2006-08-21
dc.date.accessioned2026-07-07T07:21:59Z
dc.date.available2026-07-07T07:21:59Z
dc.descriptionLet S be a C^2 H-minimal noncharacteristic hypersurface in the first Heisenberg group. We show that if S contains a graphical strip, then it is not a stable minimal surface. Moreover, we show that if S is a C^2 H-minimal noncharacteristic entire graph which is not itself a vertical plane, then S contains a graphical strip. Thus, as a corollary, we obtain an analogue of the Bernstein theorem: the only stable C^2 H-minimal noncharacteristic entire graphs are the vertical planes.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/math/0608516
dc.identifierhttp://arxiv.org/abs/math/0608516
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115500
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.titleInstability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group
dc.typetext

Files

Collections

arXiv