Four-dimensional Lorentzian algebraic Ricci solitons
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915747035348992 |
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| author | Garcia-Rio, Eduardo Rodriguez-Gigirey, Rosalia Vazquez-Lorenzo, Ramon |
| author_facet | Garcia-Rio, Eduardo Rodriguez-Gigirey, Rosalia Vazquez-Lorenzo, Ramon |
| contents | We describe four-dimensional Lorentzian algebraic Ricci solitons. In sharp contrast with the Riemannian situation, any connected and simply connected four-dimensional Lie group admits a left-invariant Lorentz metric which is a Ricci soliton. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15730 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Four-dimensional Lorentzian algebraic Ricci solitons Garcia-Rio, Eduardo Rodriguez-Gigirey, Rosalia Vazquez-Lorenzo, Ramon Differential Geometry 53C50, 53C25, 53E20 We describe four-dimensional Lorentzian algebraic Ricci solitons. In sharp contrast with the Riemannian situation, any connected and simply connected four-dimensional Lie group admits a left-invariant Lorentz metric which is a Ricci soliton. |
| title | Four-dimensional Lorentzian algebraic Ricci solitons |
| topic | Differential Geometry 53C50, 53C25, 53E20 |
| url | https://arxiv.org/abs/2601.15730 |