On the de Rham-Wu decomposition for Riemannian and Lorentzian manifolds (Q2874785)

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scientific article; zbMATH DE number 6328179
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On the de Rham-Wu decomposition for Riemannian and Lorentzian manifolds
scientific article; zbMATH DE number 6328179

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    8 August 2014
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    Lorentzian manifold
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    holonomy group
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    de Rham decomposition
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    Wu decomposition
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    On the de Rham-Wu decomposition for Riemannian and Lorentzian manifolds (English)
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    The author gives two algorithms for finding the de Rham decomposition of a Riemannian manifold and the Wu decomposition of a Lorentzian manifold using parallel symmetric bilinear forms on the manifold. This result is very important for computing the connected holonomy group of an arbitrary Riemannian or Lorentzian manifold.
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