Steady Gradient Ricci Solitons with $O(p)\times O(q)$ Symmetry
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914064215572480 |
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| author | Lavoyer, Lucas Peachey, Luke T. |
| author_facet | Lavoyer, Lucas Peachey, Luke T. |
| contents | We find new examples of steady gradient Ricci solitons with positive curvature operator in dimensions four and above. Utilising a procedure first introduced by Lai, we construct examples with $O(p) \times O(q)$ symmetry in dimension $p+q$ for any pair of integers $p,q \geq 2$ and discuss their asymptotic geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_25081 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Steady Gradient Ricci Solitons with $O(p)\times O(q)$ Symmetry Lavoyer, Lucas Peachey, Luke T. Differential Geometry Analysis of PDEs We find new examples of steady gradient Ricci solitons with positive curvature operator in dimensions four and above. Utilising a procedure first introduced by Lai, we construct examples with $O(p) \times O(q)$ symmetry in dimension $p+q$ for any pair of integers $p,q \geq 2$ and discuss their asymptotic geometry. |
| title | Steady Gradient Ricci Solitons with $O(p)\times O(q)$ Symmetry |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2509.25081 |