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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.20381 |
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| _version_ | 1866918069422522368 |
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| author | Pigazzini, Alexander Lussardi, Luca Toda, Magdalena DeBenedictis, Andrew |
| author_facet | Pigazzini, Alexander Lussardi, Luca Toda, Magdalena DeBenedictis, Andrew |
| contents | We study a particular type of Einstein warped-product manifold where the warping function must satisfy the homogeneous version of the screened Poisson equation. Under these assumptions, we show that the dimension of the manifold, the (constant negative) Ricci curvature and the screened parameter are related through a quadratic equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20381 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Einstein warped-product manifolds and the screened Poisson equation Pigazzini, Alexander Lussardi, Luca Toda, Magdalena DeBenedictis, Andrew Differential Geometry Mathematical Physics 53C25, 53C21 We study a particular type of Einstein warped-product manifold where the warping function must satisfy the homogeneous version of the screened Poisson equation. Under these assumptions, we show that the dimension of the manifold, the (constant negative) Ricci curvature and the screened parameter are related through a quadratic equation. |
| title | Einstein warped-product manifolds and the screened Poisson equation |
| topic | Differential Geometry Mathematical Physics 53C25, 53C21 |
| url | https://arxiv.org/abs/2407.20381 |