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math.DG2026
On Markowitz's pseudodistance for conformal manifolds
Adam Chalumeau
In the 1980s, M. J. Markowitz introduced a conformally invariant pseudodistance on pseudo-Riemannian manifolds, inspired by the Kobayashi metric in projective geometry. This constr…
math.DG2026
Gromov hyperbolic domains in Minkowski space
Adam Chalumeau
We investigate domains in Minkowski space that are Gromov hyperbolic with respect to a Kobayashi-like metric introduced by Markowitz in the 1980s. For convex, future complete domai…
math.DG2025
Proper Almost-Homogeneous Domains of the Einstein Universe
Adam Chalumeau, Blandine Galiay
The Einstein universe of signature is a pseudo-Riemannian analogue of the conformal sphere; it is the conformal compactification of the pseudo-Riemanni…