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Sbornik: Mathematics, 2013, Volume 204, Issue 9, Pages 1264–1284
DOI: https://doi.org/10.1070/SM2013v204n09ABEH004339 (Mi sm8219) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Conformally flat Lorentzian manifolds with special holonomy groups

A. S. Galaev

Masaryk University, Brno
English version PDF (525 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM2013v204n09ABEH004339
Abstract: 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.
Bibliography: 28 titles.
Keywords: Lorentzian manifold, special holonomy group, Walker manifold, conformally flat manifold, Nordström's gravity.
Funding agency Grant number
Ministry of Education, Youth and Sports of the Czech Republic CZ.1.07/2.3.00/20.0003
Received: 04.02.2013
Russian version:
Matematicheskii Sbornik, 2013, Volume 204, Number 9, Pages 29–50
DOI: https://doi.org/10.4213/sm8219
Bibliographic databases:
Document Type: Article
UDC: 514.764.214+514.764.223
MSC: Primary 53C50; Secondary 53C29, 83D05
Language: English
Original paper language: Russian
Citation: A. S. Galaev, “Conformally flat Lorentzian manifolds with special holonomy groups”, Mat. Sb., 204:9 (2013), 29–50; Sb. Math., 204:9 (2013), 1264–1284
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:447
    Russian version PDF:165
    English version PDF:6
    References:30
    First page:18
     
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