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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 063, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.063 (Mi sigma1145) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature

Giovanni Calvarusoa, Amirhesam Zaeimb

a Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, Prov. Lecce-Arnesano, 73100 Lecce, Italy
b Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
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DOI: https://doi.org/10.3842/SIGMA.2016.063
Abstract: Locally homogeneous Lorentzian three-manifolds with recurrect curvature are special examples of Walker manifolds, that is, they admit a parallel null vector field. We obtain a full classification of the symmetries of these spaces, with particular regard to symmetries related to their curvature: Ricci and matter collineations, curvature and Weyl collineations. Several results are given for the broader class of three-dimensional Walker manifolds.
Keywords: Walker manifolds; Killing vector fields; affine vector fields; Ricci collineations; curvature and Weyl collineations; matter collineations.
Funding agency Grant number
Universita del Salento
Italian Ministry of Education, University and Research
University of Payame Noor
First author partially supported by funds of the University of Salento and MIUR (PRIN). Second author partially supported by funds of the University of Payame Noor.
Received: February 12, 2016; in final form June 17, 2016; Published online June 26, 2016
Bibliographic databases:
Document Type: Article
MSC: 53C50; 53B30
Language: English
Citation: Giovanni Calvaruso, Amirhesam Zaeim, “Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature”, SIGMA, 12 (2016), 063, 12 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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