Randers Ricci soliton homogeneous nilmanifolds
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arXiv
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| Format: | Preprint |
| Published: |
2017
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| _version_ | 1866911962234880000 |
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| author | Moghaddam, Hamid Reza Salimi |
| author_facet | Moghaddam, Hamid Reza Salimi |
| contents | Let $F$ be a left invariant Randers metric on a simply connected nilpotent Lie group $N$, induced by a left invariant Riemannian metric ${\hat{\textbf{\textit{a}}}}$ and a vector field $X$ which is $I_{\hat{\textbf{\textit{a}}}}(M)$-invariant. If the Ricci flow equation has a unique solution then, $(N,F)$ is a Ricci soliton if and only if $(N,F)$ is a semialgebraic Ricci soliton. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1705_04957 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Randers Ricci soliton homogeneous nilmanifolds Moghaddam, Hamid Reza Salimi Differential Geometry 53C30, 53C60, 53C21, 22E25 Let $F$ be a left invariant Randers metric on a simply connected nilpotent Lie group $N$, induced by a left invariant Riemannian metric ${\hat{\textbf{\textit{a}}}}$ and a vector field $X$ which is $I_{\hat{\textbf{\textit{a}}}}(M)$-invariant. If the Ricci flow equation has a unique solution then, $(N,F)$ is a Ricci soliton if and only if $(N,F)$ is a semialgebraic Ricci soliton. |
| title | Randers Ricci soliton homogeneous nilmanifolds |
| topic | Differential Geometry 53C30, 53C60, 53C21, 22E25 |
| url | https://arxiv.org/abs/1705.04957 |