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 .

# Rectifiable Current

## See also

Integral Current, Regularity Theorem## Explore with Wolfram|Alpha

## References

Morgan, F. "What is a Surface?"*Amer. Math. Monthly*

**103**, 369-376, 1996.

## Referenced on Wolfram|Alpha

Rectifiable Current## Cite this as:

Weisstein, Eric W. "Rectifiable Current."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/RectifiableCurrent.html