Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Authors: Calvaruso, G., Zaeim, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147760
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature / G. Calvaruso, A. Zaeim // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 23 назв. — англ.

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: Ricc...