Properness of minimal surfaces with bounded curvature

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dc.creatorBessa, G. Pacelli
dc.creatorJorge, Luquesio P.
dc.date2002-05-28
dc.date.accessioned2026-07-07T06:31:40Z
dc.date.available2026-07-07T06:31:40Z
dc.descriptionWe show that immersed minimal surfaces of $\mathbb{R}^{3}$ with bounded curvature and proper self intersections are proper. We also show that the restriction of the immersing map to a wide component is always proper. When the immersing map is injective the whole surface is a wide component. Prior to these results it was only known that injectively immersed minimal surfaces with bounded curvature were proper.
dc.descriptionShort paper, (4 pages), writen in ams-latex
dc.identifierhttps://arxiv.org/abs/math/0205304
dc.identifierhttp://arxiv.org/abs/math/0205304
dc.identifierAn. Acad. Bras. Cienc., Sept 2003, vol.75, no.3, p.279-284.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98675
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53C42; 53C21
dc.titleProperness of minimal surfaces with bounded curvature
dc.typetext

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