On the singular structure of three-dimensional, area-minimizing surfaces
Author:
Frank Morgan
Journal:
Trans. Amer. Math. Soc. 276 (1983), 137-143
MSC:
Primary 49F20; Secondary 53A10
DOI:
https://doi.org/10.1090/S0002-9947-1983-0684498-4
MathSciNet review:
684498
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: A sufficient condition is given for the union of two three-dimensional planes through the origin in ${{\mathbf {R}}^n}$ to be area-minimizing. The condition is in terms of the three angles $0 \leqslant {\gamma _1} \leqslant {\gamma _2} \leqslant {\gamma _3}$ which characterize the geometric relationship between the planes. If ${\gamma _3} \leqslant {\gamma _1} + {\gamma _2}$, the union of the planes is area-minimizing.
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Additional Information
Keywords:
Area-minimizing,
mass-minimizing,
singular structure
Article copyright:
© Copyright 1983
American Mathematical Society
