Wirtinger inequality (2-forms)

For other inequalities named after Wirtinger, see Wirtinger's inequality.

In mathematics, the Wirtinger inequality for 2-forms, named after Wilhelm Wirtinger, states that the exterior scriptstylenuth power of the standard symplectic form ω, when evaluated on a simple (decomposable) (2nu)-vector ζ of unit volume, is bounded above by scriptstylenu!. In other words,

omega^nu(zeta) leq nu !,.

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