A minimal lamination with Cantor set-like singularities

DOI10.1090/S0002-9939-2011-10971-7zbMath1239.53006arXiv0910.0199OpenAlexW2963710372MaRDI QIDQ5389403

Stephen James Kleene

Publication date: 26 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0199

Mathematics Subject Classification ID

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

Related Items

The space of embedded minimal surfaces of fixed genus in a 3-manifold. V. Fixed genus ⋮ 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

• 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
• The space of embedded minimal surfaces of fixed genus in a 3-manifold. IV: Locally simply connected
• Embedded minimal disks with prescribed curvature blowup
• Embedded minimal disks: Proper versus nonproper—global versus local