Gyroids of Constant Mean Curvature

DOI10.1080/10586458.1997.10504349zbMath0898.53010OpenAlexW2161138447MaRDI QIDQ4366483

Karsten Grosse-Brauckmann

Publication date: 25 October 1998

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1047565282

zbMATH Keywords

bifurcationsymmetry groupconstant mean curvature surfacesvariationgyroid

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Software, source code, etc. for problems pertaining to differential geometry (53-04)

Related Items (7)

Global existence and stability for the modified Mullins-Sekerka and surface diffusion flow ⋮ Chirality and domain growth in the gyroid mesophase ⋮ Conjugate plateau constructions in product spaces ⋮ Compact Constant Mean Curvature Surfaces with Low Genus ⋮ Gyroids of Constant Mean Curvature ⋮ Coherent tangent bundles and Gauss-Bonnet formulas for wave fronts ⋮ Isoperimetric inequalities in crystallography

Uses Software

• Surface Evolver

Cites Work

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• On the theory of quantum groups
• Complete constant mean curvature surfaces in Euclidean three-space
• The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
• The global structure of constant mean curvature surfaces
• New surfaces of constant mean curvature
• Stable constant mean curvature surfaces minimize area
• Schwarz' \(P\) and \(D\) surfaces are stable
• The gyroid is embedded and has constant mean curvature companions
• Complete minimal surfaces in \(S^ 3\)
• Gyroids of Constant Mean Curvature
• The Surface Evolver

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