The end behavior of complete 2-dimensional area-minimizing mod 2 surfaces in \(\mathbb{R}{}^ n\)

DOI10.1215/S0012-7094-91-06326-XzbMath0773.49021OpenAlexW1509769730MaRDI QIDQ1180459

Marty Ross

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06326-x

zbMATH Keywords

asymptotic behaviorcompact Riemann surfacecomplete minimal surfacescomplete area minimizing mod 2 surfaces

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

The classification of complete orientable 2-dimensional area-minimizing \(\mod 2\) surfaces in \(\mathbb{R}^n\)

Cites Work

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• Stable minimal surfaces in Euclidean space
• On the singular structure of two-dimensional area minimizing surfaces in \({\mathbb{R}}^ n\)
• Uniqueness, symmetry, and embeddedness of minimal surfaces
• Complete minimal spheres and projective planes in \(R^ n\) with simple ends
• The structure of minimizing hypersurfaces mod 4
• Foundations of the theory of Klein surfaces
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Stable complete minimal surfaces in 𝑅³ are planes
• The geometry of the generalized Gauss map
• On the Size of a Stable Minimal Surface in R 3
• Harnack-type mass bounds and bernstein theorems for area-minimizing flat chains modulo v.
• Examples of Unoriented Area-Minimizing Surfaces

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