On the characterization of Riemannian warped product Einstein metrics
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arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917665506852864 |
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| author | Hashemi, Sayed Mohammad Reza |
| author_facet | Hashemi, Sayed Mohammad Reza |
| contents | We present a series of results, including local characterizations of $(λ,m+n)$-Einstein metrics in the context of warped product Einstein spaces. Using these local properties, we restate already known global characterizations of $(λ,m+n)$-Einstein manifolds from He, Petersen and Wylie. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08544 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the characterization of Riemannian warped product Einstein metrics Hashemi, Sayed Mohammad Reza Differential Geometry We present a series of results, including local characterizations of $(λ,m+n)$-Einstein metrics in the context of warped product Einstein spaces. Using these local properties, we restate already known global characterizations of $(λ,m+n)$-Einstein manifolds from He, Petersen and Wylie. |
| title | On the characterization of Riemannian warped product Einstein metrics |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2405.08544 |