Další formáty:
BibTeX
LaTeX
RIS
@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.
|