4-manifold
In mathematics, a 4-manifold is a 4-dimensional topological manifold. A smooth 4-manifold is a 4-manifold with a smooth structure. In dimension four, in marked contrast with lower dimensions, topological and smooth manifolds are quite different. There exist some topological 4-manifolds which admit no smooth structure, and even if there exists a smooth structure, it need not be unique (i.e. there are smooth 4-manifolds which are homeomorphic but not diffeomorphic). 4-manifolds are important in physics because in General Relativity, spacetime is modeled as a pseudo-Riemannian 4-manifold.
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4-manifold
In mathematics, a 4-manifold is a 4-dimensional topological manifold. A smooth 4-manifold is a 4-manifold with a smooth structure. In dimension four, in marked contrast with lower dimensions, topological and smooth manifolds are quite different. There exist some topological 4-manifolds which admit no smooth structure, and even if there exists a smooth structure, it need not be unique (i.e. there are smooth 4-manifolds which are homeomorphic but not diffeomorphic). 4-manifolds are important in physics because in General Relativity, spacetime is modeled as a pseudo-Riemannian 4-manifold.
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En la topología, una 4-varieda ...... ifeomorfas.
* Datos: Q2566544
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En matematiko, 4-sternaĵo esta ...... omeomorfaj sed ne difeomorfaj.
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En topologia, una 4-varietat é ...... meomorfes però no difeomorfes.
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In de topologie, een deelgebie ...... f, maar niet diffeomorf zijn).
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In mathematics, a 4-manifold i ...... pseudo-Riemannian 4-manifold.
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Четырёхмерная топология — разд ...... ьности как пространство-время.
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数学において、4次元多様体 (4-manifold) は 4 ...... わち、同相であるが微分同相ではない滑らかな多様体が存在する。
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Michael Freedman
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first
Michael
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S. V.
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id
F/f040980
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last
Freedman
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Matveev
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title
Four-dimensional manifolds
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yes
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wikiPageUsesTemplate
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comment
En la topología, una 4-varieda ...... ifeomorfas.
* Datos: Q2566544
@es
En matematiko, 4-sternaĵo esta ...... omeomorfaj sed ne difeomorfaj.
@eo
En topologia, una 4-varietat é ...... meomorfes però no difeomorfes.
@ca
In de topologie, een deelgebie ...... f, maar niet diffeomorf zijn).
@nl
In mathematics, a 4-manifold i ...... pseudo-Riemannian 4-manifold.
@en
Четырёхмерная топология — разд ...... ьности как пространство-время.
@ru
数学において、4次元多様体 (4-manifold) は 4 ...... わち、同相であるが微分同相ではない滑らかな多様体が存在する。
@ja
label
4-manifold
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4-sternaĵo
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4-variedad
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4-varietat
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4-variëteit
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4次元多様体
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Четырёхмерная топология
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