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Complex manifold

Manifold / From Wikipedia, the free encyclopedia

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In differential geometry and complex geometry, a complex manifold is a manifold with an atlas of charts to the open unit disc[1] in , such that the transition maps are holomorphic.

Holomorphic Maps

The term complex manifold is variously used to mean a complex manifold in the sense above (which can be specified as an integrable complex manifold), and an almost complex manifold.