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math.DG2023
Estimates of the Bartnik mass
Pengzi Miao, Annachiara Piubello
Given a metric of nonnegative Gauss curvature and a positive function on a -sphere , we estimate the Bartnik quasi-local mass of in terms of the area, the…
math.DG2021★ 4 cited
Mass and Riemannian Polyhedra
Pengzi Miao, Annachiara Piubello
We show that the concept of the ADM mass in general relativity can be understood as the limit of the total mean curvature plus the total defect of dihedral angle of the boundary of…