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arXiv · 1602.03693

Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature

Giovanni Calvaruso·Amirhesam Zaeim
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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.

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Giovanni Calvaruso, Amirhesam Zaeim. 2016-02-11. Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature. https://doi.org/10.3842/sigma.2016.063

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