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math.DG2025
Existence of uniform Temple charts and applications to null distance
Benjamin Meco, Anna Sakovich, Christina Sormani
In this paper, we prove that Temple's cylindrical future null coordinate charts can be constructed uniformly and we estimate the gradients of their optical functions. We then apply…
math.DG2025
A definition of the mass aspect function for weakly regular asymptotically hyperbolic manifolds
Romain Gicquaud, Anna Sakovich
In contrast to the well-known and unambiguous notion of ADM mass for asymptotically Euclidean manifolds, the notion of mass for asymptotically hyperbolic manifolds admits several i…