Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature
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...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147760 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862644218132955136 |
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| author | Calvaruso, G. Zaeim, A. |
| author_facet | Calvaruso, G. Zaeim, A. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2025-12-01T08:44:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147760 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T08:44:43Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Calvaruso, G. Zaeim, A. 2019-02-15T19:14:31Z 2019-02-15T19:14:31Z 2016 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. 1815-0659 2010 Mathematics Subject Classification: 53C50; 53B30 DOI:10.3842/SIGMA.2016.063 https://nasplib.isofts.kiev.ua/handle/123456789/147760 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. 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. The authors wish to
 thank the anonymous referees for their valuable suggestions and comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature Article published earlier |
| spellingShingle | Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature Calvaruso, G. Zaeim, A. |
| title | Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature |
| title_full | Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature |
| title_fullStr | Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature |
| title_full_unstemmed | Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature |
| title_short | Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature |
| title_sort | symmetries of lorentzian three-manifolds with recurrent curvature |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147760 |
| work_keys_str_mv | AT calvarusog symmetriesoflorentzianthreemanifoldswithrecurrentcurvature AT zaeima symmetriesoflorentzianthreemanifoldswithrecurrentcurvature |