$\mathbb{T}^n$-invariant Kaehler-Einstein manifolds immersed in complex projective spaces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911451312029696 |
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| author | Manno, Gianni Salis, Filippo |
| author_facet | Manno, Gianni Salis, Filippo |
| contents | We give a complete list, for $n \leq 6$, of non-isometric $\mathbb{T}^n$-invariant Kaehler-Einstein manifolds immersed in a finite dimensional complex projective space endowed with the Fubini-Study metric. This solves, in the aforementioned case, a classical and long-staying problem addressed among others by Calabi and Chern. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12685 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $\mathbb{T}^n$-invariant Kaehler-Einstein manifolds immersed in complex projective spaces Manno, Gianni Salis, Filippo Differential Geometry 53C55, 32Q20, 32Q40, 35J96, 35C11 We give a complete list, for $n \leq 6$, of non-isometric $\mathbb{T}^n$-invariant Kaehler-Einstein manifolds immersed in a finite dimensional complex projective space endowed with the Fubini-Study metric. This solves, in the aforementioned case, a classical and long-staying problem addressed among others by Calabi and Chern. |
| title | $\mathbb{T}^n$-invariant Kaehler-Einstein manifolds immersed in complex projective spaces |
| topic | Differential Geometry 53C55, 32Q20, 32Q40, 35J96, 35C11 |
| url | https://arxiv.org/abs/2407.12685 |