Kahler manifold: Difference between revisions
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==Definition== | ==Definition== | ||
A Kahler manifold is a [[differential manifold]] equipped with an almost complex structure <math>J</math>, and a Hermitian structure <math>g</math> for it such that the symplectic form for <math>g</math> is closed (hence, we get a symplectic structure). | A Kahler manifold is a [[differential manifold]] equipped with an [[almost complex structure]] <math>J</math>, and a [[Hermitian structure]] <math>g</math> for it such that the symplectic form for <math>g</math> is closed (hence, we get a [[symplectic structure]]`). | ||
Latest revision as of 19:47, 18 May 2008
This article describes an additional structure on a differential manifold
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Definition
A Kahler manifold is a differential manifold equipped with an almost complex structure , and a Hermitian structure for it such that the symplectic form for is closed (hence, we get a symplectic structure`).