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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Examples of unoriented area-minimizing surfaces

Author: Frank Morgan
Journal: Trans. Amer. Math. Soc. 283 (1984), 225-237
MSC: Primary 49F22; Secondary 53C65
MathSciNet review: 735418
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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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PII: S 0002-9947(1984)0735418-6
Keywords: Area-minimizing, flat chain modulo two, singularity
Article copyright: © Copyright 1984 American Mathematical Society