New expanding Ricci solitons starting in dimension four
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912055954505728 |
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| author | Nienhaus, Jan Wink, Matthias |
| author_facet | Nienhaus, Jan Wink, Matthias |
| contents | We prove that there exists a gradient expanding Ricci soliton asymptotic to any given cone over the product of a round sphere and a Ricci flat manifold. In particular we obtain asymptotically conical expanding Ricci solitons with positive scalar curvature on $\mathbb{R}^3 \times S^1.$ More generally we construct continuous families of gradient expanding Ricci solitons on trivial vector bundles over products of Einstein manifolds with arbitrary Einstein constants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_16683 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | New expanding Ricci solitons starting in dimension four Nienhaus, Jan Wink, Matthias Differential Geometry 53C25, 53E20 We prove that there exists a gradient expanding Ricci soliton asymptotic to any given cone over the product of a round sphere and a Ricci flat manifold. In particular we obtain asymptotically conical expanding Ricci solitons with positive scalar curvature on $\mathbb{R}^3 \times S^1.$ More generally we construct continuous families of gradient expanding Ricci solitons on trivial vector bundles over products of Einstein manifolds with arbitrary Einstein constants. |
| title | New expanding Ricci solitons starting in dimension four |
| topic | Differential Geometry 53C25, 53E20 |
| url | https://arxiv.org/abs/2307.16683 |