Rectifiable Current

The space of currents arising from rectifiable sets by integrating a differential form is called the space of two-dimensional rectifiable currents. For C a closed bounded rectifiable curve of a number of components in R^3, C bounds a rectifiable current of least area. The theory of rectifiable currents generalizes to m-D surfaces in R^n.

See also

Integral Current, Regularity Theorem

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

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Rectifiable Current

Cite this as:

Weisstein, Eric W. "Rectifiable Current." From MathWorld--A Wolfram Web Resource.

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