New Special Einstein Pseudo-Riemannian Metrics on Solvable Lie Algebras
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866913842779389952 |
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| author | Rossi, Federico A. |
| author_facet | Rossi, Federico A. |
| contents | We exhibit a concrete procedure to construct Einstein pseudo-Kähler and para-Kähler metrics on solvable Lie algebras. We apply this method to classify all the rank-one pseudo-Iwasawa extensions of type-(Nil4) nilsoliton in low dimension. We prove that such metrics exists on the rank-one pseudo-Iwasawa extension of the generalized Heisenberg Lie algebra.
Further ideas and suggestions to produce more special Einstein pseudo-Riemannian metrics are exposed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_06577 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | New Special Einstein Pseudo-Riemannian Metrics on Solvable Lie Algebras Rossi, Federico A. Differential Geometry 53C50 (Primary) 53C25, 53C30, 22E25, 32M10 (Secondary) We exhibit a concrete procedure to construct Einstein pseudo-Kähler and para-Kähler metrics on solvable Lie algebras. We apply this method to classify all the rank-one pseudo-Iwasawa extensions of type-(Nil4) nilsoliton in low dimension. We prove that such metrics exists on the rank-one pseudo-Iwasawa extension of the generalized Heisenberg Lie algebra. Further ideas and suggestions to produce more special Einstein pseudo-Riemannian metrics are exposed. |
| title | New Special Einstein Pseudo-Riemannian Metrics on Solvable Lie Algebras |
| topic | Differential Geometry 53C50 (Primary) 53C25, 53C30, 22E25, 32M10 (Secondary) |
| url | https://arxiv.org/abs/2112.06577 |