The minimal lamination closure theorem

DOI10.1215/S0012-7094-06-13332-XzbMath1098.53007OpenAlexW2045076344MaRDI QIDQ2497193

Harold Rosenberg, William Hamilton III Meeks

Publication date: 3 August 2006

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

Full work available at URL: https://projecteuclid.org/euclid.dmj/1150201199

zbMATH Keywords

minimal surfacelamination

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (21)

The dynamics theorem for properly embedded minimal surfaces ⋮ Properness of translating solitons for the mean curvature flow ⋮ Minimal hypersurfaces with bounded index ⋮ Chord arc properties for constant mean curvature disks ⋮ Characterizing classical minimal surfaces via the entropy differential ⋮ Structure theorems for singular minimal laminations ⋮ Mean curvature, volume and properness of isometric immersions ⋮ Non-properly embedded \(H\)-planes in \(\mathbb H^2\times \mathbb R\) ⋮ The space of embedded minimal surfaces of fixed genus in a 3-manifold. V. Fixed genus ⋮ Bending the helicoid ⋮ Limit lamination theorems for \(H\)-surfaces ⋮ The structure of stable minimal surfaces near a singularity ⋮ Parabolic minimal surfaces in \(\mathbb M^2\times\mathbb{R}\) ⋮ Finite topology minimal surfaces in homogeneous three-manifolds ⋮ Effective versions of the positive mass theorem ⋮ Limit lamination theorem for H-disks ⋮ The embedded Calabi-Yau conjecture for finite genus ⋮ NON-PROPERLY EMBEDDED MINIMAL PLANES IN HYPERBOLIC 3-SPACE ⋮ The classical theory of minimal surfaces ⋮ The rigidity of embedded constant mean curvature surfaces ⋮ The classification of singly periodic minimal surfaces with genus zero and Scherk-type ends

Cites Work

• Unnamed Item
• The space of embedded minimal surfaces of fixed genus in a 3-manifold. V. Fixed genus
• 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 strong halfspace theorem for minimal surfaces
• On complete minimal surfaces with finite Morse index in three 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
• The Calabi-Yau conjectures for embedded surfaces
• Hermite polynomials and helicoidal minimal surfaces
• The limit lamination metric for the Colding-Minicozzi minimal lamination
• The theory of minimal surfaces in \(M\times \mathbb R\)
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Stable complete minimal surfaces in 𝑅³ are planes

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