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arXiv · 2601.17044

Conformal Einstein spaces and conformally covariant operators

Alfonso García-Parrado·Jónatan Herrera·Miguel Vadillo
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Abstract

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.

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Alfonso García-Parrado, Jónatan Herrera, Miguel Vadillo. 2026-01-20. Conformal Einstein spaces and conformally covariant operators. https://arxiv.org/abs/2601.17044

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