Conformal Einstein spaces and conformally covariant operators
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914276754587648 |
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| author | García-Parrado, Alfonso Herrera, Jónatan Vadillo, Miguel |
| author_facet | García-Parrado, Alfonso Herrera, Jónatan Vadillo, Miguel |
| contents | In this article we give general neccessary and sufficient conditions to ensure that a pseudo-Riemannian manifold is conformal to an Einstein space. These conditions are algorithmic in \emph{the metric tensor} whenever the Weyl endomorphism is invertible. Our conditions depend in an essential manner on the $\mathcal{C}$-connection. We also show how to construct \emph{conformally covariant, pseudo-differential} operators which has an independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17044 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conformal Einstein spaces and conformally covariant operators García-Parrado, Alfonso Herrera, Jónatan Vadillo, Miguel Differential Geometry General Relativity and Quantum Cosmology 53C18, 53C25, 53B05, 53B30 In this article we give general neccessary and sufficient conditions to ensure that a pseudo-Riemannian manifold is conformal to an Einstein space. These conditions are algorithmic in \emph{the metric tensor} whenever the Weyl endomorphism is invertible. Our conditions depend in an essential manner on the $\mathcal{C}$-connection. We also show how to construct \emph{conformally covariant, pseudo-differential} operators which has an independent interest. |
| title | Conformal Einstein spaces and conformally covariant operators |
| topic | Differential Geometry General Relativity and Quantum Cosmology 53C18, 53C25, 53B05, 53B30 |
| url | https://arxiv.org/abs/2601.17044 |