Approximation of Regular Sasakian Manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910337272381440 |
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| author | Placini, Giovanni |
| author_facet | Placini, Giovanni |
| contents | We investigate the problem of approximating a regular Sasakian structure by CR immersions in a standard sphere. Namely, we show that this is always possible for compact Sasakian manifolds. Moreover, we prove an approximation result for non-compact $η$-Einstein manifolds via immersions in the infinite dimensional sphere. We complement this with several examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_16167 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Approximation of Regular Sasakian Manifolds Placini, Giovanni Differential Geometry 53C25 (Primary) 53C42, 53C55 (Secondary) We investigate the problem of approximating a regular Sasakian structure by CR immersions in a standard sphere. Namely, we show that this is always possible for compact Sasakian manifolds. Moreover, we prove an approximation result for non-compact $η$-Einstein manifolds via immersions in the infinite dimensional sphere. We complement this with several examples. |
| title | Approximation of Regular Sasakian Manifolds |
| topic | Differential Geometry 53C25 (Primary) 53C42, 53C55 (Secondary) |
| url | https://arxiv.org/abs/2306.16167 |