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geometry > differential geometry > connection > affine connection

Preferred term

affine connection  

Definition

  • In differential geometry, an affine connection is a geometric object on a smooth manifold which connects nearby tangent spaces, so it permits tangent vector fields to be differentiated as if they were functions on the manifold with values in a fixed vector space. Connections are among the simplest methods of defining differentiation of the sections of vector bundles.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Affine_connection)

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URI

http://data.loterre.fr/ark:/67375/PSR-CN4HP5Z7-7

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