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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/2604.23456 |
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| _version_ | 1866914507690868736 |
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| author | Andrade, M. Baltazar, H. da Silva, A. Tavares, D. |
| author_facet | Andrade, M. Baltazar, H. da Silva, A. Tavares, D. |
| contents | In this article, we derive an integral formula involving the tensor $D_{ijk}$ for compact Einstein-type manifolds with constant scalar curvature. As an application, we classify three-dimensional compact Einstein-type manifolds satisfying the cyclic parallel Ricci tensor condition, obtaining rigidity results that extend and unify previous work in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23456 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Einstein-type manifold with cyclic parallel Ricci tensor Andrade, M. Baltazar, H. da Silva, A. Tavares, D. Differential Geometry In this article, we derive an integral formula involving the tensor $D_{ijk}$ for compact Einstein-type manifolds with constant scalar curvature. As an application, we classify three-dimensional compact Einstein-type manifolds satisfying the cyclic parallel Ricci tensor condition, obtaining rigidity results that extend and unify previous work in the literature. |
| title | On Einstein-type manifold with cyclic parallel Ricci tensor |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2604.23456 |