: Astronomy: complex manifold

mathematical technique > geometry > differential geometry > complex manifold

complex manifold

In differential geometry and complex geometry, a complex manifold is a manifold with an atlas of charts to the open unit disc in Cⁿ, such that the transition maps are holomorphic. 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. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Complex_manifold)

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