27 citations · 98 across the 17 of their papers we have counts for
20 papers
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…
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…
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…
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…
An Overview of Bartnik's Quasi-Local Mass
Stephen McCormick
This article provides a concise introduction to Bartnik's quasi-local mass, and surveys a selection of results pertaining to the understanding of it. The aim is to serve as both an…
A volume-renormalized mass for asymptotically hyperbolic manifolds
Mattias Dahl, Klaus Kroencke, Stephen McCormick
We define a geometric quantity for asymptotically hyperbolic manifolds, which we call the volume-renormalized mass. It is essentially a linear combination of the ADM mass surface i…