On the structure of almost Yamabe solitons
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912685241663488 |
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| author | Hwang, Seungsu Yun, Gabjin |
| author_facet | Hwang, Seungsu Yun, Gabjin |
| contents | In this paper, we study structures of almost Yamabe solitons which are not necessarily gradient. First, we investigate conditions that both compact and noncompact almost Yamabe solitons become trivial solitons which means the given vector field is a Killing vector field. Second, we show that an almost Yamabe soliton whose vector field is closed admits a local warped product structure with a one-dimensional base. This result can be considered as a generalization of a result in \cite{c-s-z} and \cite{c-m-m} |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01429 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the structure of almost Yamabe solitons Hwang, Seungsu Yun, Gabjin Differential Geometry Primary 53C21, Secondary 53C24 In this paper, we study structures of almost Yamabe solitons which are not necessarily gradient. First, we investigate conditions that both compact and noncompact almost Yamabe solitons become trivial solitons which means the given vector field is a Killing vector field. Second, we show that an almost Yamabe soliton whose vector field is closed admits a local warped product structure with a one-dimensional base. This result can be considered as a generalization of a result in \cite{c-s-z} and \cite{c-m-m} |
| title | On the structure of almost Yamabe solitons |
| topic | Differential Geometry Primary 53C21, Secondary 53C24 |
| url | https://arxiv.org/abs/2511.01429 |