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math.DG2026
Conformal Einstein spaces and conformally covariant operators
Alfonso García-Parrado, Jónatan Herrera, Miguel Vadillo
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…
math.DG2024
The -connection and the 4-dimensional Einstein spaces
Alfonso García-Parrado
We introduce a new family of operators in 4-dimensional pseudo-Riemannian manifolds with a non-vanishing Weyl scalar (non-degenerate spaces) that keep the conformal covariance of \…