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== Applications in geometric measure theory == Numerous minimality results for complex analytic manifolds are based on the [[Wirtinger inequality (2-forms)|Wirtinger inequality for 2-forms]]. A succinct proof may be found in [[Herbert Federer]]'s classic text ''Geometric Measure Theory''. The Wirtinger inequality is also a key ingredient in [[Gromov's inequality for complex projective space]] in [[systolic geometry]].
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