131 citations · 244 across the 20 of their papers we have counts for
23 papers
A note on Huisken's isoperimetric mass
Jeffrey L. Jauregui, Dan A. Lee, Ryan Unger
In this short note, we explain that Huisken's isoperimetric mass is always nonnegative for elementary reasons.
Equality in the spacetime positive mass theorem II
Lan-Hsuan Huang, Dan A. Lee
We provide a new proof of the equality case of the spacetime positive mass theorem, which states that if a complete asymptotically flat initial data set satisfying the…
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…
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…
Density and positive mass theorems for initial data sets with boundary
Dan A. Lee, Martin Lesourd, Ryan Unger
We prove a harmonic asymptotics density theorem for asymptotically flat initial data sets with compact boundary that satisfy the dominant energy condition. We use this to settle th…
Stability of the positive mass theorem under Ricci curvature lower bounds
Demetre Kazaras, Marcus Khuri, Dan Lee
We establish Gromov-Hausdorff stability of the Riemannian positive mass theorem under the assumption of a Ricci curvature lower bound. More precisely, consider a class of orientabl…