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Comass


The comass at a point x of a differential p-form phi on a Riemannian manifold M is the supremum of the absolute value of phi on simple (decomposable) tangent p-vectors of p-volume one (Harvey and Lawson 1982, p. 56),

 sup_(v=v_1 ^ ... ^ v_p in  ^ ^pT_xM,||v||=1)|phi_x(v)|.

See also

Calibration Form

Portions of this entry contributed by Todd Rowland

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References

Harvey, R. and Lawson, H. B. Jr. "Calibrated Geometries." Acta Math. 148, 47-157, 1982. https://doi.org/10.1007/BF02392726.

Referenced on Wolfram|Alpha

Comass

Cite this as:

Weisstein, Eric W., with contributions by Todd Rowland. "Comass." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Comass.html

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