Special non-Kähler metrics on Endo-Pajitnov manifolds
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914726040043520 |
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| author | Ciulică, Cristian Otiman, Alexandra Stanciu, Miron |
| author_facet | Ciulică, Cristian Otiman, Alexandra Stanciu, Miron |
| contents | We investigate the metric and cohomological properties of higher dimensional analogues of Inoue surfaces, that were introduced by Endo and Pajitnov. We provide a solvmanifold structure and show that in the diagonalizable case, they are formal and have invariant de Rham cohomology. Moreover, we obtain an arithmetic and cohomological characterization of pluriclosed and astheno-Kähler metrics and show they give new examples in all complex dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15618 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Special non-Kähler metrics on Endo-Pajitnov manifolds Ciulică, Cristian Otiman, Alexandra Stanciu, Miron Differential Geometry 53C55, 22E25, 32J18 We investigate the metric and cohomological properties of higher dimensional analogues of Inoue surfaces, that were introduced by Endo and Pajitnov. We provide a solvmanifold structure and show that in the diagonalizable case, they are formal and have invariant de Rham cohomology. Moreover, we obtain an arithmetic and cohomological characterization of pluriclosed and astheno-Kähler metrics and show they give new examples in all complex dimensions. |
| title | Special non-Kähler metrics on Endo-Pajitnov manifolds |
| topic | Differential Geometry 53C55, 22E25, 32J18 |
| url | https://arxiv.org/abs/2403.15618 |