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@article{2362445,
author = {Galaev, Anton},
article_location = {RUSSIA},
article_number = {2},
doi = {http://dx.doi.org/10.1070/RM2015v070n02ABEH004947},
keywords = {Lorentzian manifold; holonomy group; holonomy algebra; Walker manifold; Einstein equation; recurrent spinor field; conformally flat manifold; 2-symmetric Lorentzian manifold},
language = {eng},
issn = {0036-0279},
journal = {RUSSIAN MATHEMATICAL SURVEYS},
title = {Holonomy groups of Lorentzian manifolds},
volume = {70},
year = {2015}
}
TY - JOUR
ID - 2362445
AU - Galaev, Anton
PY - 2015
TI - Holonomy groups of Lorentzian manifolds
JF - RUSSIAN MATHEMATICAL SURVEYS
VL - 70
IS - 2
SP - 249-298
EP - 249-298
PB - TURPION LTD
SN - 00360279
KW - Lorentzian manifold
KW - holonomy group
KW - holonomy algebra
KW - Walker manifold
KW - Einstein equation
KW - recurrent spinor field
KW - conformally flat manifold
KW - 2-symmetric Lorentzian manifold
N2 - This paper contains a survey of recent results on classification of the connected holonomy groups of Lorentzian manifolds. A simplification of the construction of Lorentzian metrics with all possible connected holonomy groups is obtained. The Einstein equation, Lorentzian manifolds with parallel and recurrent spinor fields, conformally flat Walker metrics, and the classification of 2-symmetric Lorentzian manifolds are considered as applications.
ER -
GALAEV, Anton. Holonomy groups of Lorentzian manifolds. \textit{RUSSIAN MATHEMATICAL SURVEYS}. RUSSIA: TURPION LTD, 2015, roč.~70, č.~2, s.~249-298. ISSN~0036-0279. Dostupné z: https://dx.doi.org/10.1070/RM2015v070n02ABEH004947.
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