complex manifold (Q1804)

manifold with an atlas of charts to the open unit disk in ℂⁿ, such that the transition maps are holomorphic

Language	Label	Description	Also known as
English	complex manifold	manifold with an atlas of charts to the open unit disk in ℂⁿ, such that the transition maps are holomorphic

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subclass of

analytic manifold

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almost complex manifold

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described by source

Armenian Soviet Encyclopedia, vol. 5

page(s)

545

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defining formula

{\begin{aligned}&\left(M,(U_{i})_{i\in I},\phi _{i}\colon U_{i}\to \mathbb {C} ^{n}\right)\\&\bigcup _{i\in I}U_{i}=M\\&\forall {i,j}\in I\colon \phi _{j}\circ \phi _{i}^{-1}\in \Gamma ({\mathcal {O}}_{\phi _{i}(U_{i}\cap U_{j})}^{\oplus n})\end{aligned}}

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Identifiers

Wikidata QID

Q578874

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NDL Authority ID

00563644

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Freebase ID

/m/02jxm0

1 reference

28 October 2013

ComplexManifold

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nLab ID

complex manifold

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Encyclopedia of Mathematics article ID

Complex_manifold

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Microsoft Academic ID

27602778

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OpenAlex ID

C27602778

1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

NL CR AUT ID

ph412856

subject named as

komplexní variety

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ScienceDirect topic ID

mathematics/complex-manifold

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complex manifold (Q1804)

Statements

Identifiers

Sitelinks

mathematics(0 entries)