Complete gradient Ricci solitons with zero radial Weyl curvature
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917516300779520 |
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| author | Li, Tongzhu Yu, Junlong |
| author_facet | Li, Tongzhu Yu, Junlong |
| contents | In this paper, we study the complete gradient Ricci solitons $(M^n, g,f)$ with zero radial Weyl curvature, which means that the interior product of $\nabla f$ with the Weyl tensor $W$ is zero, i.e., $i_{\nabla f}W=0$. We classify completely the complete gradient Ricci solitons with zero radial Weyl curvature for the dimension $n\geq 4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21078 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Complete gradient Ricci solitons with zero radial Weyl curvature Li, Tongzhu Yu, Junlong Differential Geometry In this paper, we study the complete gradient Ricci solitons $(M^n, g,f)$ with zero radial Weyl curvature, which means that the interior product of $\nabla f$ with the Weyl tensor $W$ is zero, i.e., $i_{\nabla f}W=0$. We classify completely the complete gradient Ricci solitons with zero radial Weyl curvature for the dimension $n\geq 4$. |
| title | Complete gradient Ricci solitons with zero radial Weyl curvature |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2605.21078 |