A minimal lamination of the interior of a positive cone with quadratic curvature blowup

DOI10.1007/s12220-014-9475-4zbMath1322.53012arXiv1311.7102OpenAlexW1987953097MaRDI QIDQ490746

Christine Breiner, Stephen James Kleene

Publication date: 28 August 2015

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7102

zbMATH Keywords

minimal laminationquadratic curvature blowup

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Surfaces in Euclidean and related spaces (53A05)

Cites Work

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• Sequences of embedded minimal disks whose curvatures blow up on a prescribed subset of a line
• A minimal lamination of the unit ball with singularities along a line segment
• Local removable singularity theorems for minimal laminations
• The Calabi-Yau conjectures for embedded surfaces
• Embedded minimal disks with prescribed curvature blowup
• Embedded minimal disks: Proper versus nonproper—global versus local
• A minimal lamination with Cantor set-like singularities

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