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@article{2362447, author = {Galaev, Anton}, article_location = {BRISTOL}, article_number = {13}, doi = {http://dx.doi.org/10.1088/0264-9381/31/13/135007}, keywords = {Lorentzian manifold; holonomy group; de Rham decomposition; Wu decomposition}, language = {eng}, issn = {0264-9381}, journal = {Classical and Quantum Gravity}, title = {On the de Rham-Wu decomposition for Riemannian and Lorentzian manifolds}, volume = {31}, year = {2014} }
TY - JOUR ID - 2362447 AU - Galaev, Anton PY - 2014 TI - On the de Rham-Wu decomposition for Riemannian and Lorentzian manifolds JF - Classical and Quantum Gravity VL - 31 IS - 13 PB - Institute of Physics SN - 02649381 KW - Lorentzian manifold KW - holonomy group KW - de Rham decomposition KW - Wu decomposition N2 - 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. ER -
GALAEV, Anton. On the de Rham-Wu decomposition for Riemannian and Lorentzian manifolds. \textit{Classical and Quantum Gravity}. BRISTOL: Institute of Physics, 2014, vol.~31, No~13, 13 pp. ISSN~0264-9381. Available from: https://dx.doi.org/10.1088/0264-9381/31/13/135007.
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