A theorem of Bernstein type for minimal surfaces in \(R^ 4\)

DOI10.2748/tmj/1178228804zbMath0549.53007OpenAlexW2069912933MaRDI QIDQ800647

Shigeo Kawai

Publication date: 1984

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228804

zbMATH Keywords

minimal surfacesecond variationholomorphic functionantiholomorphic function

Mathematics Subject Classification ID

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

Related Items (1)

Minimal surface systems, maximal surface systems and special Lagrangian equations

Cites Work

• Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system
• Minimal varieties in Riemannian manifolds
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Stable complete minimal surfaces in 𝑅³ are planes
• Minimal Immersions of 2-Spheres in S 4
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