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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.08402 |
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| _version_ | 1866913630486790144 |
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| author | Foka, Marius Landry Nimpa, Romain Pefoukeu Mbatakou, Salomon Joseph Djiadeu, Michel Bertrand Ngaha Bouetou, Thomas Bouetou |
| author_facet | Foka, Marius Landry Nimpa, Romain Pefoukeu Mbatakou, Salomon Joseph Djiadeu, Michel Bertrand Ngaha Bouetou, Thomas Bouetou |
| contents | In this paper, using the Milnor-type theorem technique, we provide on each nilpotent five dimensional Lie group, some global existence result of a pair (g, c) consisting of a left-invariant Riemannian metric g and a positive constant c such that Ric(g) =cT, where Ric(g) is the Ricci curvature of g and T a given left-invariant symmetric (0, 2)-tensor field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08402 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The prescribed Ricci curvature problem on 5-dimensional nilpotent Lie groups Foka, Marius Landry Nimpa, Romain Pefoukeu Mbatakou, Salomon Joseph Djiadeu, Michel Bertrand Ngaha Bouetou, Thomas Bouetou Differential Geometry 53C25, 53C30 In this paper, using the Milnor-type theorem technique, we provide on each nilpotent five dimensional Lie group, some global existence result of a pair (g, c) consisting of a left-invariant Riemannian metric g and a positive constant c such that Ric(g) =cT, where Ric(g) is the Ricci curvature of g and T a given left-invariant symmetric (0, 2)-tensor field. |
| title | The prescribed Ricci curvature problem on 5-dimensional nilpotent Lie groups |
| topic | Differential Geometry 53C25, 53C30 |
| url | https://arxiv.org/abs/2403.08402 |