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In mathematics, in particular in algebraic topology, differential geometry and algebraic geometry, the Chern classes are characteristic classes associated with complex vector bundles. Chern classes were introduced by Shiing-Shen Chern ().

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  • Chern class
  • Chernklassen
  • Classe de Chern
  • チャーン類
  • Chern-klasse
  • Classe de Chern
  • 陈类
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  • In mathematics, in particular in algebraic topology, differential geometry and algebraic geometry, the Chern classes are characteristic classes associated with complex vector bundles. Chern classes were introduced by Shiing-Shen Chern ().
  • In der Mathematik, genauer in der algebraischen Topologie und in der Differentialgeometrie und -topologie, sind Chernklassen ein spezieller Typ von charakteristischen Klassen, die komplexen Vektorbündeln zugeordnet werden. Chernklassen sind nach Shiing-Shen Chern benannt, der sie in den 1940er-Jahren erstmals allgemein definierte.
  • En mathématiques, les classes de Chern sont des classes caractéristiques associées aux fibrés vectoriels. Elles tiennent leur nom du mathématicien sino-américain Shiing-Shen Chern, qui les a introduites en 1946 dans le cas complexe. Les classes de Chern ont des applications importantes en mathématiques, notamment en topologie et géométrie algébriques, et en physique dans l'étude des théories de Yang-Mills et des champs quantiques.
  • チャーン類は、Shiing-Shen Chern () で導入された。
  • In de algebraïsche topologie en de differentiaalmeetkunde, deelgebieden van de wiskunde, is een Chern-klasse een bepaald type van karakteristieke klasse geassocieerd met complexe vectorbundels. Chern-klassen zijn vernoemd naar Shiing-Shen Chern, die in de jaren 1940 voor het eerst een algemene definitie van Chern-klassen gaf.
  • Em matemática, em particular em topologia algébrica e geometria e topologia diferencial, as classes de Chern são um tipo particular de classe característica associada a fibrados vetoriais complexos. As classes de Chern recebem este nome devido a Shiing-Shen Chern, quem primeiro deu uma definição geral delas nos anos 1940.
  • 陈类因陈省身而得名,他在1940年代第一个给出了它们的一般定义。
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