Quasi-Einstein manifolds with Harmonic Weyl curvature
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909928494465024 |
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| author | Cao, Huai-Dong Li, Fengjiang Siene, James |
| author_facet | Cao, Huai-Dong Li, Fengjiang Siene, James |
| contents | In this paper, we classify $n$-dimensional ($n\geq 5$) quasi-Einstein manifolds with harmonic Weyl curvature, thus extending the work of Shin \cite{Shin} in dimension four for quasi-Einstein manifolds and refining the work of He-Petersen-Wylie \cite{HPW}. As a consequence, we provide new examples of quasi-Einstein manifolds which are neither locally conformally flat nor D-flat in the sense of \cite{CC12}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22013 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-Einstein manifolds with Harmonic Weyl curvature Cao, Huai-Dong Li, Fengjiang Siene, James Differential Geometry In this paper, we classify $n$-dimensional ($n\geq 5$) quasi-Einstein manifolds with harmonic Weyl curvature, thus extending the work of Shin \cite{Shin} in dimension four for quasi-Einstein manifolds and refining the work of He-Petersen-Wylie \cite{HPW}. As a consequence, we provide new examples of quasi-Einstein manifolds which are neither locally conformally flat nor D-flat in the sense of \cite{CC12}. |
| title | Quasi-Einstein manifolds with Harmonic Weyl curvature |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2511.22013 |