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geometry > differential geometry > Lie derivative

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Lie derivative  

Definition

  • In differential geometry, the Lie derivative, named after Sophus Lie by Władysław Ślebodziński, evaluates the change of a tensor field (including scalar functions, vector fields and one-forms), along the flow defined by another vector field. This change is coordinate invariant and therefore the Lie derivative is defined on any differentiable manifold.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Lie_derivative)

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http://data.loterre.fr/ark:/67375/PSR-WK8RJJMC-4

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