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math.DG2026
A conformal reduction for the X-ADM mass
Stephen McCormick
The X-ADM mass is a geometric invariant for asymptotically flat manifolds, recently introduced by Mantegazza and Oronzio [arXiv:2602.11372], generalising the weighted mass of Balda…
math.DG2026
Extensions of spacetime Bartnik data and estimates for the Bartnik mass outside of time-symmetry
Stephen McCormick, Markus Wolff
Bartnik's quasi-local mass is a functional on Bartnik data , consisting of a metric , scalar functions and , and a 1-form on the $2…
math.DG2026
Mass, Staticity, and a Riemannian Penrose Inequality for Weighted Manifolds
Stephen McCormick
In this note, we show that the weighted mass of Baldauf and Ozuch (2022) can be derived as a natural geometric mass invariant following Michel (2011), for a certain weighted curvat…