Generalized Killing spinors associated with the Ricci tensor
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866916030863900672 |
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| author | Imada, Natsuki |
| author_facet | Imada, Natsuki |
| contents | In this paper, we introduce the notion of Ricci Killing spinors on Riemannian spin manifolds, which form a class between generalized Killing spinors and standard Killing spinors. We prove an existence theorem for Ricci Killing spinors that are not Killing spinors on a certain class of Sasakian manifolds. This yields new examples of manifolds admitting generalized Killing spinors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20694 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Generalized Killing spinors associated with the Ricci tensor Imada, Natsuki Differential Geometry 53C27, 53C25, 58J60 In this paper, we introduce the notion of Ricci Killing spinors on Riemannian spin manifolds, which form a class between generalized Killing spinors and standard Killing spinors. We prove an existence theorem for Ricci Killing spinors that are not Killing spinors on a certain class of Sasakian manifolds. This yields new examples of manifolds admitting generalized Killing spinors. |
| title | Generalized Killing spinors associated with the Ricci tensor |
| topic | Differential Geometry 53C27, 53C25, 58J60 |
| url | https://arxiv.org/abs/2605.20694 |