The least area bounded by multiples of a curve
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- by Brian White PDF
- Proc. Amer. Math. Soc. 90 (1984), 230-232 Request permission
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
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Additional 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