Wirtinger inequality (2-forms)

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 scriptstyle uth power of the standard symplectic form ω, when evaluated on a simple (decomposable) (2 u)-vector ζ of unit volume, is bounded above by scriptstyle u!. In other words,

: omega^ u(zeta) leq u !,.

ee also

*2-form
*Gromov's inequality for complex projective space
*Systolic geometry


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