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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| Дата: | 2016 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147760 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147760 |
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dspace |
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irk-123456789-1477602019-02-16T01:26:10Z Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature Calvaruso, G. Zaeim, A. 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. 2016 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147760 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Calvaruso, G. Zaeim, A. |
| spellingShingle |
Calvaruso, G. Zaeim, A. Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Calvaruso, G. Zaeim, A. |
| author_sort |
Calvaruso, G. |
| title |
Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature |
| title_short |
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_sort |
symmetries of lorentzian three-manifolds with recurrent curvature |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147760 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT calvarusog symmetriesoflorentzianthreemanifoldswithrecurrentcurvature AT zaeima symmetriesoflorentzianthreemanifoldswithrecurrentcurvature |
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2023-05-20T17:28:29Z |
| last_indexed |
2023-05-20T17:28:29Z |
| _version_ |
1796153382245761024 |