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
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【 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   

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