On the de Rham-Wu decomposition for Riemannian and Lorentzian manifolds
arXiv:1611.01554 · doi:10.1088/0264-9381/31/13/135007
Abstract
It is explained how to find the de~Rham decomposition of a Riemannian manifold and the Wu decomposition of a Lorentzian manifold. For that it is enough to find parallel symmetric bilinear forms on the manifold, and do some linear algebra. This result will allow to compute the connected holonomy group of an arbitrary Riemannian or Lorentzian manifold.
arXiv comment9 pages; this is an extanded version of a part from arXiv:1110.1998 that was published
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