The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866910757178834944 |
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| author | Arroyo, Romina M. Gould, Mark D. Pulemotov, Artem |
| author_facet | Arroyo, Romina M. Gould, Mark D. Pulemotov, Artem |
| contents | We investigate the prescribed Ricci curvature problem in the class of left-invariant naturally reductive Riemannian metrics on a non-compact simple Lie group. We obtain a number of conditions for the solvability of the underlying equations and discuss several examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_15765 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups Arroyo, Romina M. Gould, Mark D. Pulemotov, Artem Differential Geometry We investigate the prescribed Ricci curvature problem in the class of left-invariant naturally reductive Riemannian metrics on a non-compact simple Lie group. We obtain a number of conditions for the solvability of the underlying equations and discuss several examples. |
| title | The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2006.15765 |