A regularity and compactness theory for immersed stable minimal hypersurfaces of multiplicity at most 2

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dc.creatorWickramasekera, Neshan
dc.date2007-10-09
dc.date.accessioned2026-07-07T08:35:01Z
dc.date.available2026-07-07T08:35:01Z
dc.descriptionWe prove that a stable minimal hypersurface of an open ball having a singular set of locally finite codimension 2 Hausdorff measure which is weakly close to a multiplicity 2 hyperplane is a 2-valued C^{1, alpha} graph in the interior. Applications including a compactness theorem for a class of immersed stable minimal hypersurfaces and a pointwise curvature estimate for the hypersurfaces in this class in low dimensions are also discussed.
dc.description77 pages; to appear in JDG
dc.identifierhttps://arxiv.org/abs/0710.1740
dc.identifierhttp://arxiv.org/abs/0710.1740
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139632
dc.subjectDifferential Geometry
dc.titleA regularity and compactness theory for immersed stable minimal hypersurfaces of multiplicity at most 2
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