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math.DG2022★ 2 cited
Noncompact Fill-Ins of Bartnik Data
Dan A. Lee, Martin Lesourd, Ryan Unger
We generalize Y. Shi and L.-F.\ Tam's \cite{ShiTam} nonnegativity result for the Brown-York mass, by considering nonnegative scalar curvature (NNSC) fill-ins that need only be comp…
math.DG2022★ 1 cited
Density and positive mass theorems for incomplete manifolds
Dan A. Lee, Martin Lesourd, Ryan Unger
For manifolds with a distinguished asymptotically flat end, we prove a density theorem which produces harmonic asymptotics on the distinguished end, while allowing for points of in…