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math.DG2011
Penrose-type inequalities with a Euclidean background
Jeffrey L. Jauregui
The Riemannian Penrose inequality (RPI) bounds from below the ADM mass of asymptotically flat manifolds of nonnegative scalar curvature in terms of the total area of all outermost…
math.DG2011
Fill-ins of nonnegative scalar curvature, static metrics, and quasi-local mass
Jeffrey L. Jauregui
Consider a triple of "Bartnik data" , where is a topological 2-sphere with Riemannian metric and positive function . We view Bartnik data as a boundary conditi…