3 papers
math.DG2019
Stability of a quasi-local positive mass theorem for graphical hypersurfaces of Euclidean space
Aghil Alaee, Armando J. Cabrera Pacheco, Stephen McCormick
We present a quasi-local version of the stability of the positive mass theorem. We work with the Brown--York quasi-local mass as it possesses positivity and rigidity properties, an…
math.DG2019
A survey on extensions of Riemannian manifolds and Bartnik mass estimates
Armando J. Cabrera Pacheco, Carla Cederbaum
Mantoulidis and Schoen developed a novel technique to handcraft asymptotically flat extensions of Riemannian manifolds , with satisfying $λ_1 = λ_1(-Δ_…
math.DG2019
Asymptotically flat extensions with charge
Aghil Alaee, Armando J. Cabrera Pacheco, Carla Cederbaum
The Bartnik mass is a notion of quasi-local mass which is remarkably difficult to compute. Mantoulidis and Schoen [2016] developed a novel technique to construct asymptotically fla…