Martin Lesourd

activity

20172026

most citedDensity and positive mass theorems for initial data sets with boundary

13 citations · 76 across the 18 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.DG2019★ 6 cited

A localized spacetime Penrose inequality and horizon detection with quasi-local mass

Aghil Alaee, Martin Lesourd, Shing-Tung Yau

For an admissible class of smooth compact initial data sets with boundary, we prove a comparison theorem between the Wang/Liu-Yau quasi-local mass of the boundary and the Hawking m…

math.DG2019★ 4 cited

On the Moduli Space of Asymptotically Flat Manifolds with Boundary and the Constraint Equations

Sven Hirsch, Martin Lesourd

Let $X$ be a closed $3$ -manifold, $M_{R > 0}$ the space of metrics on $X$ with positive scalar curvature, and $Diff (X)$ the group of diffeomorphisms of $X$ . Marques…

gr-qc2019

Null geodesic incompleteness of spacetimes with no CMC Cauchy surfaces

Madeleine Burkhart, Martin Lesourd, Daniel Pollack

Chruściel, Isenberg, and Pollack constructed a class of vacuum cosmological spacetimes that do not admit Cauchy surfaces with constant mean curvature. We prove that, for sufficient…