# 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 $\mathbb {C} ^{n}$, such that the transition maps are holomorphic.

Manifold

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.