期刊论文详细信息
Symmetry Integrability and Geometry-Methods and Applications | |
Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature | |
article | |
Giovanni Calvaruso1  Amirhesam Zaeim2  | |
[1] Dipartimento di Matematica e Fisica ''E. De Giorgi'', Università del Salento;Department of Mathematics, Payame Noor University | |
关键词: Walker manifolds; Killing vector fields; af fine vector fields; Ricci collineations; curvature and Weyl collineations; matter collineations; | |
DOI : 10.3842/SIGMA.2016.063 | |
来源: National Academy of Science of Ukraine | |
【 摘 要 】
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.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202106300001118ZK.pdf | 320KB | download |