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Wirtinger inequality (2-forms) : ウィキペディア英語版 | 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 on a Kähler manifold , the exterior th power of the symplectic form (Kähler form) ω, when evaluated on a simple (decomposable) -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. ==See also==
*2-form *Gromov's inequality for complex projective space *Systolic geometry
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Wirtinger inequality (2-forms)」の詳細全文を読む
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