On the Rigidity of $\mathbb{CP}^{2n}\times \mathbb{CP}^{1}$
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914928966762496 |
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| author | Hall, Stuart James |
| author_facet | Hall, Stuart James |
| contents | We revisit Koiso's original examples of rigid infinitesimally deformable Einstein metrics. We show how to compute Koiso's obstruction to the integrability of the infinitesimal deformations on $\mathbb{CP}^{n}\times \mathbb{CP}^{1}$ using completely elementary complex differential geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16689 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Rigidity of $\mathbb{CP}^{2n}\times \mathbb{CP}^{1}$ Hall, Stuart James Differential Geometry We revisit Koiso's original examples of rigid infinitesimally deformable Einstein metrics. We show how to compute Koiso's obstruction to the integrability of the infinitesimal deformations on $\mathbb{CP}^{n}\times \mathbb{CP}^{1}$ using completely elementary complex differential geometry. |
| title | On the Rigidity of $\mathbb{CP}^{2n}\times \mathbb{CP}^{1}$ |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2408.16689 |