Flat Norm

The flat norm on a current is defined by

[画像: F(S)=int{Area T+Vol(R):S-T=partialR}, ]

where partialR is the boundary of R.

See also

Compactness Theorem, Current

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References

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

Referenced on Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Flat Norm." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FlatNorm.html

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