CR structures, k-contact structures, and generalized Sasakian structures
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909295681994752 |
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| author | Talvacchia, Janet |
| author_facet | Talvacchia, Janet |
| contents | In previous work (arXiv:2205.12067), we defined a notion of a generalized Sasakian structure in the context of generalized contact geometry, the odd dimensional analogue of generalized complex geometry introduced by Hitchin and Gualtieri. We show here that k-contact manifolds are generalized Sasakian if and only if they are classically Sasakian. We show also that strictly pseudo-convex CR manifolds are always generalized Sasakian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13835 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | CR structures, k-contact structures, and generalized Sasakian structures Talvacchia, Janet Differential Geometry In previous work (arXiv:2205.12067), we defined a notion of a generalized Sasakian structure in the context of generalized contact geometry, the odd dimensional analogue of generalized complex geometry introduced by Hitchin and Gualtieri. We show here that k-contact manifolds are generalized Sasakian if and only if they are classically Sasakian. We show also that strictly pseudo-convex CR manifolds are always generalized Sasakian. |
| title | CR structures, k-contact structures, and generalized Sasakian structures |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2408.13835 |