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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, roč.~31, č.~13, 13 s. ISSN~0264-9381. Dostupné z: https://dx.doi.org/10.1088/0264-9381/31/13/135007.
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