Examples of unoriented area-minimizing surfaces

Morgan, Frank

doi:10.1090/S0002-9947-1984-0735418-6

Examples of unoriented area-minimizing surfaces
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Trans. Amer. Math. Soc. 283 (1984), 225-237 Request permission

Abstract:

A comprehensive study is made of constructions of area-minimizing flat chains modulo two. Many have singularities. For instance, any bounded, area-minimizing submanifold of ${{\mathbf {R}}^n}$ occurs as the singular set of some area-minimizing flat chain modulo two in some ${{\mathbf {R}}^N}$.

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