A Result of Rigidity for Ricci-Flat Warped Products
In this work we prove a result of rigidity on Ricci-flat semi-Riemannian warped products when the base is locally conformally flat with scalar curvature zero and invariant by the action of the pseudo-orthogonal group. We obtain that in these manifolds the fiber must be 1-dimensional. As an applicati...
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| Veröffentlicht in: | Boletim da Sociedade Brasileira de Matemática 2023-09, Vol.54 (3), Article 35 |
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| container_title | Boletim da Sociedade Brasileira de Matemática |
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| creator | Menezes, Ilton Correia, Paula Pina, Romildo |
| description | In this work we prove a result of rigidity on Ricci-flat semi-Riemannian warped products when the base is locally conformally flat with scalar curvature zero and invariant by the action of the pseudo-orthogonal group. We obtain that in these manifolds the fiber must be 1-dimensional. As an application, every metric with these characteristics is a generalized Schwarzschild metric. |
| doi_str_mv | 10.1007/s00574-023-00352-w |
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| subjects | Mathematical and Computational Physics Mathematics Mathematics and Statistics Rigidity Schwarzschild metric Theoretical |
| title | A Result of Rigidity for Ricci-Flat Warped Products |
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