Wirtinger inequality (2-forms) Totally Explained

Everything about Wirtinger Inequality 2-forms totally explained

ť 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
u

^th 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, ť

omega^
u(zeta) leq 
u !,.

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