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math.DG2024★ 2 cited
Projective and Carrollian geometry at time/space-like infinity on projectively compact Ricci flat Einstein manifolds
Jack Borthwick, Yannick Herfray
In this article we discuss how to construct canonical \emph{strong} Carrollian geometries at time/space like infinity of projectively compact Ricci flat Einstein manifolds …
math.DG2023★ 4 cited
Asymptotic symmetries of projectively compact order one Einstein manifolds
Jack Borthwick, Yannick Herfray
We show that the boundary of a projectively compact Einstein manifold of dimension can be extended by a line bundle naturally constructed from the projective compactification.…
math.DG2019★ 2 cited
An ambient approach to conformal geodesics
Joel Fine, Yannick Herfray
Conformal geodesics are distinguished curves on a conformal manifold, loosely analogous to geodesics of Riemannian geometry. One definition of them is as solutions to a third order…