On quasi-Einstein manifolds with constant scalar curvature
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866909622244212736 |
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| author | Costa, Johnatan Ribeiro Jr, Ernani Santos, Márcio |
| author_facet | Costa, Johnatan Ribeiro Jr, Ernani Santos, Márcio |
| contents | In this article, we study quasi-Einstein manifolds with constant scalar curvature. We provide a classification of compact and noncompact (possibly with boundary) $T$-flat quasi-Einstein manifolds with constant scalar curvature, where the $T$-tensor is directly related to the Cotton and Weyl tensors. Moreover, we construct new explicit examples of noncompact quasi-Einstein manifolds. In addition, we prove a complete classification of compact and noncompact (possibly with boundary) $3$-dimensional $m$-quasi-Einstein manifolds with constant scalar curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_18834 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On quasi-Einstein manifolds with constant scalar curvature Costa, Johnatan Ribeiro Jr, Ernani Santos, Márcio Differential Geometry In this article, we study quasi-Einstein manifolds with constant scalar curvature. We provide a classification of compact and noncompact (possibly with boundary) $T$-flat quasi-Einstein manifolds with constant scalar curvature, where the $T$-tensor is directly related to the Cotton and Weyl tensors. Moreover, we construct new explicit examples of noncompact quasi-Einstein manifolds. In addition, we prove a complete classification of compact and noncompact (possibly with boundary) $3$-dimensional $m$-quasi-Einstein manifolds with constant scalar curvature. |
| title | On quasi-Einstein manifolds with constant scalar curvature |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2505.18834 |