On the shrinking solitons of generalized Ricci flow
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917634966028288 |
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| author | Li, Xilun Ye, Yanan |
| author_facet | Li, Xilun Ye, Yanan |
| contents | We show that every gradient shrinking soliton of the generalized Ricci flow on compact manifold is a Ricci soliton. And we prove that the pluriclosed soliton is gradient Kahler-Ricci soliton under a broad cohomological condition. Moreover, we construct the first example of non-trivial shrinking generalized soliton, which can serve as a singularity model of the generalized Ricci flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06141 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the shrinking solitons of generalized Ricci flow Li, Xilun Ye, Yanan Differential Geometry We show that every gradient shrinking soliton of the generalized Ricci flow on compact manifold is a Ricci soliton. And we prove that the pluriclosed soliton is gradient Kahler-Ricci soliton under a broad cohomological condition. Moreover, we construct the first example of non-trivial shrinking generalized soliton, which can serve as a singularity model of the generalized Ricci flow. |
| title | On the shrinking solitons of generalized Ricci flow |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2404.06141 |