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]]`).

Revision as of 11:18, 31 August 2007

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`).