On a special class of gradient Ricci solitons
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917400968953856 |
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| author | Gomes, José Nazareno Vieira Marrocos, Marcus Antonio Mendonça |
| author_facet | Gomes, José Nazareno Vieira Marrocos, Marcus Antonio Mendonça |
| contents | We develop a method for constructing complete gradient Ricci solitons realized as fiber bundles endowed with warped metrics, and we establish necessary and sufficient conditions for their existence. As an application, we present new examples of complete gradient steady and shrinking Ricci solitons obtained via quotients by isometric group actions |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26903 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On a special class of gradient Ricci solitons Gomes, José Nazareno Vieira Marrocos, Marcus Antonio Mendonça Differential Geometry 53C25, 53C15 We develop a method for constructing complete gradient Ricci solitons realized as fiber bundles endowed with warped metrics, and we establish necessary and sufficient conditions for their existence. As an application, we present new examples of complete gradient steady and shrinking Ricci solitons obtained via quotients by isometric group actions |
| title | On a special class of gradient Ricci solitons |
| topic | Differential Geometry 53C25, 53C15 |
| url | https://arxiv.org/abs/2603.26903 |