Conformally flat Lorentzian manifolds with special holonomy groups

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Authors	GALAEV Anton
Year of publication	2013
Type	Article in Periodical
Magazine / Source	Sbornik: Mathematics
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.turpion.org/php/paper.phtml?journal_id=sm&paper_id=4339
Doi	http://dx.doi.org/10.1070/SM2013v204n09ABEH004339
Field	General mathematics
Keywords	Lorentzian manifold; special holonomy group; Walker mani fold; conformally flat manifold; Nordstrom’s gravity
Description	We obtain a local classification of conformally flat Lorentzian manifolds with special holonomy groups. The corresponding local metrics are certain extensions of Riemannian spaces of constant sectional curvature to Walker metrics.
Related projects:	Algebraické metody v geometrii s potenciálem k aplikacím