Classification of Stable Minimal Surfaces Bounded by Jordan Curves in Close Planes

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dc.creatorPearlstein, Rosanna
dc.date1999-05-08
dc.date.accessioned2026-07-07T05:28:59Z
dc.date.available2026-07-07T05:28:59Z
dc.descriptionWe study compact stable embedded minimal surfaces whose boundary is given by two collections of closed smooth Jordan curves in close planes of Euclidean 3-space. Our main result is a classification of these minimal surfaces, under certain natural geometric asymptotic constraints, in terms of certain associated varifolds which can be enumerated explicitely. One consequence of this result is the uniqueness of the area minimizing examples. Another is the asymptotic nonexistence of stable compact embedded minimal surfaces of positive genus bounded by two convex curves in parallel planes.
dc.description38 pages, 2 figures, latex
dc.identifierhttps://arxiv.org/abs/math/9905047
dc.identifierhttp://arxiv.org/abs/math/9905047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78470
dc.subjectDifferential Geometry
dc.subject49Q05; 53A10
dc.titleClassification of Stable Minimal Surfaces Bounded by Jordan Curves in Close Planes
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