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math.DG2020
Scalar curvature and the relative capacity of geodesic balls
Jeffrey L. Jauregui
In a Riemannian manifold, it is well known that the scalar curvature at a point can be recovered from the volumes (areas) of small geodesic balls (spheres). We show the scalar curv…
math.DG2020★ 2 cited
ADM mass and the capacity-volume deficit at infinity
Jeffrey L. Jauregui
Based on the isoperimetric inequality, G. Huisken proposed a definition of total mass in general relativity that is equivalent to the ADM mass for (smooth) asymptotically flat 3-ma…