Explicit Björling surfaces with prescribed geometry

DOI10.1307/MMJ/1531447375zbMath1403.53012arXiv1608.05335OpenAlexW2962948359MaRDI QIDQ1616286

R. Smith

Publication date: 1 November 2018

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

Full work available at URL: https://arxiv.org/abs/1608.05335

Mathematics Subject Classification ID

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

Related Items (7)

Bifurcations of minimal surfaces via index theory ⋮ Holomorphic representation of minimal surfaces in simply isotropic space ⋮ The Björling problem for prescribed mean curvature surfaces in \(\mathbb{R}^3\) ⋮ NEW EXAMPLES OF MAXIMAL SURFACES IN LORENTZ-MINKOWSKI SPACE ⋮ Spacelike zero mean curvature surfaces in \({\mathbb{L}}^4\) ⋮ A Björling representation for Jacobi fields on minimal surfaces and soap film instabilities ⋮ Solutions of the Björling problem for timelike surfaces in the Lorentz-Minkowski space

Cites Work

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• Sequences of embedded minimal disks whose curvatures blow up on a prescribed subset of a line
• Logarithmically spiraling helicoids
• The classification of complete minimal surfaces in \(R^ 3\) with total curvature greater than -8pi
• Bending the helicoid
• Complete minimal Möbius strips in \(\mathbb R^n\) and the Björling problem
• Embedded minimal disks with prescribed curvature blowup
• Embedded minimal disks: Proper versus nonproper—global versus local

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