Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The least area bounded by multiples of a curve
HTML articles powered by AMS MathViewer

by Brian White
Proc. Amer. Math. Soc. 90 (1984), 230-232
DOI: https://doi.org/10.1090/S0002-9939-1984-0727239-0

Abstract:

For each positive integer $n$, we construct a smooth curve $\Gamma$ in ${{\mathbf {R}}^4}$ such that the least area of a surface (integral current) with boundary $n\Gamma$ is less than $n/k$ of the least area of a surface with boundary $k\Gamma \left ( {1 \leqslant k < n} \right )$.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 49F20
  • Retrieve articles in all journals with MSC: 49F20
Bibliographic Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 90 (1984), 230-232
  • MSC: Primary 49F20
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0727239-0
  • MathSciNet review: 727239