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

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Publication:1307116
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DOI10.1007/BF02921644zbMath0964.53040MaRDI QIDQ1307116

Marty Ross

Publication date: 16 July 2001

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)


zbMATH Keywords

minimal immersionhigher codimension


Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)





Cites Work

  • On the singular structure of two-dimensional area minimizing surfaces in \({\mathbb{R}}^ n\)
  • Complete minimal spheres and projective planes in \(R^ n\) with simple ends
  • The end behavior of complete 2-dimensional area-minimizing mod 2 surfaces in \(\mathbb{R}{}^ n\)
  • Calibrations modulo \(\nu\)
  • The geometry of the generalized Gauss map
  • Harnack-type mass bounds and bernstein theorems for area-minimizing flat chains modulo v.
  • Examples of Unoriented Area-Minimizing Surfaces




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