Conformal Einstein spaces and conformally covariant operators
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.
Fields of Study & Subjects
Advanced Differential Geometry Research
Relativity and Gravitational Theory
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Journal of Geometry and Physics
- Pages
- 106027–106027
- Publication date
- 1 October 2026
- Language
- EN