(Q578874)

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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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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described by source

Armenian Soviet Encyclopedia, vol. 5

page(s)

545

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

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komplexní variety

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Encyclopedia of Mathematics article ID

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1 reference

28 October 2013

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Microsoft Academic ID

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1 reference

26 January 2022

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

ScienceDirect topic ID

mathematics/complex-manifold

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(Q578874)

complex manifold

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