A minimal lamination of the unit ball with singularities along a line segment

zbMath1225.53009arXiv0902.3641MaRDI QIDQ610625

Siddique Khan

Publication date: 8 December 2010

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3641

zbMATH Keywords

minimal laminationcurvature blow-up

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (4)

A minimal lamination with Cantor set-like singularities ⋮ A minimal lamination of the interior of a positive cone with quadratic curvature blowup ⋮ On the topology of surfaces with the generalised simple lift property ⋮ Extending an example by Colding and Minicozzi

Cites Work

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• Genus-one helicoids from a variational point of view
• Non-proper helicoid-like limits of closed minimal surfaces in 3-manifolds
• The space of embedded minimal surfaces of fixed genus in a 3-manifold. I: Estimates off the axis for disks
• The space of embedded minimal surfaces of fixed genus in a 3-manifold. II: Multi-valued graphs in disks
• The space of embedded minimal surfaces of fixed genus in a 3-manifold. III: Planar domains
• The space of embedded minimal surfaces of fixed genus in a 3-manifold. IV: Locally simply connected
• The uniqueness of the helicoid
• Bending the helicoid
• Embedded minimal disks with prescribed curvature blowup
• Embedded minimal disks: Proper versus nonproper—global versus local

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