6 citations · 14 across the 4 of their papers we have counts for
10 papers
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…
The Positive Mass Theorem with Arbitrary Ends
Martin Lesourd, Ryan Unger, Shing-Tung Yau
We prove a Riemannian positive mass theorem for manifolds with a single asymptotically flat end, but otherwise arbitrary other ends, which can be incomplete and contain negative sc…
Observations and predictions from past lightcones
Martin Lesourd
In a general Lorentzian manifold M, the past lightcone of a point is a proper subset of M that does not carry enough information to determine the rest of M. That said, if M is a gl…
Positive Scalar Curvature on Noncompact Manifolds and the Liouville Theorem
Martin Lesourd, Ryan Unger, Shing-Tung Yau
Using minimal hypersurfaces, we obtain topological obstructions to admitting complete metrics with positive scalar curvature on a given class of non-compact n-manifolds with n less…
Stable Surfaces and Free Boundary Marginally Outer Trapped Surfaces
Aghil Alaee, Martin Lesourd, Shing-Tung Yau
We explore various notions of stability for surfaces embedded and immersed in spacetimes and initial data sets. The interest in such surfaces lies in their potential to go beyond t…
Construction of Cauchy data for the dynamical formation of apparent horizons and the Penrose Inequality
Nikolaos Athanasiou, Martin Lesourd
Based on scale critical initial data, we construct smooth asymptotically flat Cauchy initial data for the Einstein vacuum system that does not contain Marginally Outer Trapped Surf…