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Regularity Theorem

An Area-minimizing surface (Rectifiable Current) bounded by a smooth curve in $\Bbb{R}^3$ is a smooth submanifold with boundary.

See also Minimal Surface, Rectifiable Current


References

Morgan, F. ``What is a Surface?'' Amer. Math. Monthly 103, 369-376, 1996.




© 1996-9 Eric W. Weisstein
1999-05-25