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In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the geometry of the principal bundle is tied to the geometry of the base manifold using a solder form. Cartan connections describe the geometry of manifolds modelled on homogeneous spaces.

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  • Cartan connection
  • Conexión de Cartan
  • Cartan-verbinding
  • 嘉当联络
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  • En matemática, la construcción de la conexión de Cartan en geometría diferencial es una generalización amplia del concepto de la conexión, basado en una comprensión del papel del en el acercamiento usual. Fue desarrollado por Élie Cartan, como parte (y como manera de formular) su método de triedro móvil. Véase también formalismo de Cartan
  • In de differentiaalmeetkunde, een deelgebied van de wiskunde, is een Cartan-verbinding een flexibele veralgemening van de notie van een affiene verbinding. Het kan ook beschouwd worden als een specialisatie van de algemene concept van een , waarin de meetkunde van de is verbonden aan de meetkunde van de basisvariëteit door gebruik te maken van een "soldervorm". Cartan-verbindingen beschrijven de meetkunde van variëteiten naar het voorbeeld van homogene ruimten.
  • 在数学上,微分几何的结构嘉当联络(Cartan connection)是联络概念的一个推广,由Élie Cartan提出。该方法的一些应用请参见活动标架法,和爱因斯坦-嘉当理论。
  • In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the geometry of the principal bundle is tied to the geometry of the base manifold using a solder form. Cartan connections describe the geometry of manifolds modelled on homogeneous spaces.
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