A generalization of Rado's Theorem for almost graphical boundaries

Simple item page
dc.creatorDean, Brian
dc.creatorTinaglia, Giuseppe
dc.date2005-02-25
dc.date.accessioned2026-07-07T05:17:30Z
dc.date.available2026-07-07T05:17:30Z
dc.descriptionIn this paper, we prove a generalization of Rado's Theorem, a fundamental result of minimal surface theory, which says that minimal surfaces over a convex domain with graphical boundaries must be disks which are themselves graphical. We will show that, for a minimal surface of any genus, whose boundary is "almost graphical" in some sense, that the surface must be graphical once we move sufficiently far from the boundary.
dc.description12 pages, 6 figures, submitted to Math. Zeit
dc.identifierhttps://arxiv.org/abs/math/0502551
dc.identifierhttp://arxiv.org/abs/math/0502551
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74330
dc.subjectDifferential Geometry
dc.subject53A10
dc.titleA generalization of Rado's Theorem for almost graphical boundaries
dc.typetext

Files

Collections

arXiv