
Wirtinger inequality (2-forms)
    
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        In mathematics, the Wirtinger inequality for 2-forms, named after Wilhelm Wirtinger
, states that the exterior th power of the standard symplectic form ω, when evaluated on a simple (decomposable)
th power of the standard symplectic form ω, when evaluated on a simple (decomposable)  -vector ζ of unit volume, is bounded above by
-vector ζ of unit volume, is bounded above by  .  In other words,
.  In other words,

Wilhelm Wirtinger
Wilhelm Wirtinger  was an Austrian mathematician, working in complex analysis, geometry, algebra, number theory, Lie groups and knot theory.-Biography:...
, states that the exterior
 th power of the standard symplectic form ω, when evaluated on a simple (decomposable)
th power of the standard symplectic form ω, when evaluated on a simple (decomposable)  -vector ζ of unit volume, is bounded above by
-vector ζ of unit volume, is bounded above by  .  In other words,
.  In other words,
See also
- 2-form
- Gromov's inequality for complex projective space
- Systolic geometry


