The space of embedded minimal surfaces of fixed genus in a 3-manifold II; Multi-valued graphs in disks

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dc.creatorColding, Tobias H.
dc.creatorMinicozzi II, William P.
dc.date2002-10-07
dc.date.accessioned2026-07-07T04:51:40Z
dc.date.available2026-07-07T04:51:40Z
dc.descriptionThis paper is the second in a series where we attempt to give a complete description of the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3-manifold. The key for understanding such surfaces is to understand the local structure in a ball and in particular the structure of an embedded minimal disk in a ball in $\RR^3$. We show here that if the curvature of such a disk becomes large at some point, then it contains an almost flat multi-valued graph nearby that continues almost all the way to the boundary.
dc.descriptionFigures added to existing preprint
dc.identifierhttps://arxiv.org/abs/math/0210086
dc.identifierhttp://arxiv.org/abs/math/0210086
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65191
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.titleThe space of embedded minimal surfaces of fixed genus in a 3-manifold II; Multi-valued graphs in disks
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