Ricci Solitons on a family of three dimensional Lorentzian Walker manifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918124938330112 |
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| author | Diatta, A. Ciss, M. Diallo, A. S. |
| author_facet | Diatta, A. Ciss, M. Diallo, A. S. |
| contents | A Ricci soliton is a natural generalization of an Einstein metric. On a pseudo-Riemannian manifold (M, g), it is defined by : $LX g + \r{ho} = λ g, where X is a smooth vector field on M , LX denotes the Lie derivative in the direction of X, \r{ho} is the Ricci tensor, and λ is a real constant. In this paper, we establish the existence of non-trivial Ricci solitons on a family of three-dimensional Lorentzian Walker manifolds. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_10217 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ricci Solitons on a family of three dimensional Lorentzian Walker manifolds Diatta, A. Ciss, M. Diallo, A. S. Differential Geometry A Ricci soliton is a natural generalization of an Einstein metric. On a pseudo-Riemannian manifold (M, g), it is defined by : $LX g + \r{ho} = λ g, where X is a smooth vector field on M , LX denotes the Lie derivative in the direction of X, \r{ho} is the Ricci tensor, and λ is a real constant. In this paper, we establish the existence of non-trivial Ricci solitons on a family of three-dimensional Lorentzian Walker manifolds. |
| title | Ricci Solitons on a family of three dimensional Lorentzian Walker manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2508.10217 |