GALAEV, Anton. On the de Rham-Wu decomposition for Riemannian and Lorentzian manifolds. 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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Basic information
Original name On the de Rham-Wu decomposition for Riemannian and Lorentzian manifolds
Authors GALAEV, Anton.
Edition Classical and Quantum Gravity, BRISTOL, Institute of Physics, 2014, 0264-9381.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United Kingdom of Great Britain and Northern Ireland
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 3.168
Doi http://dx.doi.org/10.1088/0264-9381/31/13/135007
UT WoS 000338698500007
Keywords in English Lorentzian manifold; holonomy group; de Rham decomposition; Wu decomposition
Changed by Changed by: doc. Anton Galaev, Dr. rer. nat., učo 250449. Changed: 18/1/2024 11:15.
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.
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