On the structure of gradient Yamabe solitons
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2011
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| Subjects: | |
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| _version_ | 1866913260941344768 |
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| author | Cao, Huai-Dong Sun, Xiaofeng Zhang, Yingying |
| author_facet | Cao, Huai-Dong Sun, Xiaofeng Zhang, Yingying |
| contents | We show that every complete nontrivial gradient Yamabe soliton admits a special global warped product structure with a one-dimensional base. Based on this, we prove a general classification theorem for complete nontrivial locally conformally flat gradient Yamabe solitons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1108_6316 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | On the structure of gradient Yamabe solitons Cao, Huai-Dong Sun, Xiaofeng Zhang, Yingying Differential Geometry General Relativity and Quantum Cosmology We show that every complete nontrivial gradient Yamabe soliton admits a special global warped product structure with a one-dimensional base. Based on this, we prove a general classification theorem for complete nontrivial locally conformally flat gradient Yamabe solitons. |
| title | On the structure of gradient Yamabe solitons |
| topic | Differential Geometry General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/1108.6316 |