The space of currents arising from rectifiable sets by integrating a differential form is called the space of two-dimensional rectifiable currents. For a closed bounded rectifiable curve of a number of components in , bounds a rectifiable current of least area. The theory of rectifiable currents generalizes to -D surfaces in .
See alsoIntegral Current, Regularity Theorem
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ReferencesMorgan, F. "What is a Surface?" Amer. Math. Monthly 103, 369-376, 1996.
Referenced on Wolfram|AlphaRectifiable Current
Cite this as:
Weisstein, Eric W. "Rectifiable Current." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RectifiableCurrent.html