Killing spinors and hypersurfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Accesso online: | |
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| _version_ | 1866929319041826816 |
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| author | Conti, Diego Dalmasso, Romeo Segnan |
| author_facet | Conti, Diego Dalmasso, Romeo Segnan |
| contents | We consider spin manifolds with an Einstein metric, either Riemannian or indefinite, for which there exists a Killing spinor. We describe the intrinsic geometry of nondegenerate hypersurfaces in terms of a PDE satisfied by a pair of induced spinors, akin to the generalized Killing spinor equation. Conversely, we prove an embedding result for real analytic pseudo-Riemannian manifolds carrying a pair of spinors satisfying this condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_13202 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Killing spinors and hypersurfaces Conti, Diego Dalmasso, Romeo Segnan Differential Geometry 53C25 (Primary) 53B30, 53C27, 53C50, 58J60 (Secondary) We consider spin manifolds with an Einstein metric, either Riemannian or indefinite, for which there exists a Killing spinor. We describe the intrinsic geometry of nondegenerate hypersurfaces in terms of a PDE satisfied by a pair of induced spinors, akin to the generalized Killing spinor equation. Conversely, we prove an embedding result for real analytic pseudo-Riemannian manifolds carrying a pair of spinors satisfying this condition. |
| title | Killing spinors and hypersurfaces |
| topic | Differential Geometry 53C25 (Primary) 53B30, 53C27, 53C50, 58J60 (Secondary) |
| url | https://arxiv.org/abs/2111.13202 |