Wirtinger inequality (2-forms)
In mathematics, the Wirtinger inequality for 2-forms, named after Wilhelm Wirtinger, states that on a Kähler manifold, the exterior th power of the symplectic form ω, when evaluated on a simple -vector ζ of unit volume, is bounded above by. That is,
In other words, is a calibration on. An important corollary is that every complex submanifold of a Kähler manifold is volume minimizing in its homology class.
