2 papers
math.DG2026
The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions
Sven Hirsch, Marcus Khuri, Martin Lesourd +1
Using the recent work of Brendle--Wang on the Riemannian positive mass theorem, we prove the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloida…
math.DG2025
Positive mass theorems for spin initial data sets with arbitrary ends and dominant energy shields
Simone Cecchini, Martin Lesourd, Rudolf Zeidler
We prove a positive mass theorem for spin initial data sets that contain an asymptotically flat end and a shield of dominant energy (a subset of on which the dominant…