Regularity of the singular set in the Colding-Minicozzi lamination theorem

DOI10.1215/S0012-7094-04-12324-3zbMath1086.53005MaRDI QIDQ701892

William Hamilton III Meeks

Publication date: 14 January 2005

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

minimal surfacesimmersionsregularity of the singular set

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items

Structure theorems for singular minimal laminations ⋮ The space of embedded minimal surfaces of fixed genus in a 3-manifold. V. Fixed genus ⋮ Bending the helicoid ⋮ Regularity of the singular set in the Colding-Minicozzi lamination theorem ⋮ The geometry of minimal surfaces of finite genus. II: Nonexistence of one limit end examples ⋮ The minimal lamination closure theorem ⋮ Helicoid-like minimal disks and uniqueness ⋮ Non-proper helicoid-like limits of closed minimal surfaces in 3-manifolds ⋮ Limit lamination theorem for H-disks ⋮ The embedded Calabi-Yau conjecture for finite genus ⋮ The classical theory of minimal surfaces

Cites Work

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• Regularity of the singular set in the Colding-Minicozzi lamination theorem
• The geometry of minimal surfaces of finite genus. II: Nonexistence of one limit end examples
• On foliations of \({\mathbb{R}}^{n+1}\) by minimal hypersurfaces
• 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. IV: Locally simply connected
• The limit lamination metric for the Colding-Minicozzi minimal lamination