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періодичних видань НАН України
періодичних видань НАН України
Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature
Інший ID:
2010 Mathematics Subject Classification: 53C50; 53B30
DOI:10.3842/SIGMA.2016.063
DOI:10.3842/SIGMA.2016.063
Посилання:
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.
Підтримка:
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.
Дата:
2016
Переглядів:
480
Завантажень:
247
Анотація:
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.
