3 papers
math.DG2026
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.DG2026
On the existence and properties of solutions of the generalized Jang equation with respect to asymptotically anti-de Sitter initial data
Benjamin Meco
We provide a rigorous analysis of the generalized Jang equation in the asymptotically anti-de Sitter setting modelled on constant time slices of anti-de Sitter spacetimes in dimens…
math.DG2025
A generalization of the ADM mass for asymptotically Euclidean manifolds of weak regularity
Stig Lundgren, Benjamin Meco
We propose a new definition of the ADM mass for asymptotically Euclidean manifolds inspired by the definition of mass for weakly regular asymptotically hyperbolic manifolds by Gicq…