Stephen McCormick

collaborators

4 papers

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

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…

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 $(S^{2}, I^^{3}, H, P, I ¨ ^{⊥})$ , consisting of a metric $I^^{3}$ , scalar functions $H$ and $P$ , and a 1-form $I ¨ ^{⊥}$ on th…

math.DG2025

The Volume-Renormalized Mass from a Hamiltonian Perspective

Mattias Dahl, Klaus Kroencke, Stephen McCormick

We demonstrate that the volume-renormalized mass for asymptotically hyperbolic manifolds recently introduced by the authors can be deduced from a reduced Hamiltonian perspective. I…