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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.21137 |
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| _version_ | 1866917230667628544 |
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| author | de Sousa, Márcio Lemes Martins, Tibério Bittencourt de Oliveira da Silva, Carlos Rodrigues |
| author_facet | de Sousa, Márcio Lemes Martins, Tibério Bittencourt de Oliveira da Silva, Carlos Rodrigues |
| contents | We study Einstein riemannian manifolds endowed with a warped product structure. We focus on the case in which both the base and the fiber are Einstein manifolds and establish necessary and sufficient conditions for the warped product itself to be an Einstein manifold. Moreover, we explicitly determine the warping function when the base is the hyperbolic space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_21137 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Einstein Warped Products with Einstein Base and Fiber de Sousa, Márcio Lemes Martins, Tibério Bittencourt de Oliveira da Silva, Carlos Rodrigues Differential Geometry 53C21, 53C25 We study Einstein riemannian manifolds endowed with a warped product structure. We focus on the case in which both the base and the fiber are Einstein manifolds and establish necessary and sufficient conditions for the warped product itself to be an Einstein manifold. Moreover, we explicitly determine the warping function when the base is the hyperbolic space. |
| title | Einstein Warped Products with Einstein Base and Fiber |
| topic | Differential Geometry 53C21, 53C25 |
| url | https://arxiv.org/abs/2601.21137 |