e/Complex manifold

Information
has gloss	eng: In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit disk in Cn, such that the transition maps are holomorphic.
lexicalization	eng: Complex manifolds
lexicalization	eng: Complex Manifold
subclass of	(noun) a pipe that has several lateral outlets to or from other pipes manifold
has instance	e/Algebraic geometry and analytic geometry
has instance	e/Bergman metric
has instance	e/Biholomorphism
has instance	e/Blowing up
has instance	e/Calabi conjecture
has instance	e/Calabi–Eckmann manifold
has instance	e/Canonical ring
has instance	c/Moduli theory
has instance	e/Complex differential form
has instance	e/Complex dimension
has instance	e/Complex geometry
has instance	e/Differential of the first kind
has instance	e/Exponential sheaf sequence
has instance	e/Fermat quintic threefold
has instance	e/Fujiki class C
has instance	e/Generalized Jacobian
has instance	e/Hitchin functional
has instance	e/Hodge theory
has instance	e/Holomorphic vector bundle
has instance	e/Hopf manifold
has instance	e/Intermediate Jacobian
has instance	e/Kodaira vanishing theorem
has instance	e/Polar homology
has instance	e/Positive current
has instance	e/Positive form
has instance	e/Quadratic differential
has instance	e/Relative canonical model
has instance	e/Skoda-El Mir theorem
has instance	e/Stable map
has instance	e/Trivial cylinder
has instance	e/Twistor space

Meaning
German
has gloss	deu: Komplexe Mannigfaltigkeiten sind topologische Mannigfaltigkeiten, deren Kartenwechselhomöomorphismen sogar konform sind. Diese Objekte werden in der Differentialgeometrie und der Funktionentheorie untersucht. Ihre Definition ist analog zu der Definition der differenzierbaren Mannigfaltigkeit, jedoch kann im Gegensatz zu den differenzierbaren Mannigfaltigkeiten nicht jede komplexe Mannigfaltigkeit in den \C^n eingebettet werden.
lexicalization	deu: komplexe Mannigfaltigkeit
Esperanto
lexicalization	epo: Kompleksaj duktoj
French
has gloss	fra: En géométrie différentielle, une variété complexe est un espace topologique obtenu par recollement douverts despaces vectoriels complexes selon des biholomorphismes. Plus précisément, une variété complexe est un espace topologique dénombrable à l'infini possédant un atlas de cartes sur Cn, tel que les applications de changement de cartes soient des biholomorphismes.
lexicalization	fra: Variete complexe
lexicalization	fra: variété complexe
Korean
lexicalization	kor: 복소다양체
Dutch
has gloss	nld: In differentiaalmeetkunde, een deelgebied van de meetkunde, is een complexe variëteit een variëteit met een atlas van kaarten naar de open eenheidsschijf in Cn, zodanig dat de overgangsafbeeldingen holomorf zijn.
lexicalization	nld: complexe variëteit
Portuguese
has gloss	por: Em geometria diferencial, uma variedade complexa é a variedade na qual cada vizinhança apresenta-se como um n-espaço complexo em uma via coerente. Mais precisamente, uma variedade complexa tem um atlas de cartas para o disco unidade aberta em \mathbfC}^n, tais que a mudança de coordenadas entre cartas seja holomórfica.
lexicalization	por: variedade complexa
Castilian
has gloss	spa: En geometría diferencial, una variedad compleja M es una variedad topológica que tiene la estructura que nos permite definir la noción de función holomorfa f:M \to \mathbbC}.
lexicalization	spa: variedad compleja
lexicalization	spa: Variedades complejas
Chinese
has gloss	zho: 微分几何中，一个复流形是一个流形，使得每个领域在一种连续的方式下看起来象一个复n维空间。更精确的讲，一个复流形有一个坐标图册，其每个坐标图映射到Cn，并且坐标图之间的坐标变换是全纯的。
lexicalization	zho: 复流形

Word:	(case sensitive)
Language:	(ISO 639-3 code, e.g. "eng" for English)

e/Complex manifold

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