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Flat Norm

The flat norm on a Current is defined by

{\mathcal F}(S)=\int\{{\rm Area\ }T+{\rm vol\ }R:S-T=\partial R\},

where $\partial R$ is the boundary of $R$.

See also Compactness Theorem, Current


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

© 1996-9 Eric W. Weisstein