The rigidity of the Riemannian positive mass theorem for asymptotically flat manifolds states that the total mass of such a manifold is zero if and only if the manifold is isometric to the Euclidean space. This leads us to ask us whether a stability result holds. We will provide a positive answer for a class of asymptotically flat graphical manifolds described by Huang-Lee-Sormani by using the intrinsic flat distance.
Intrinsic flat stability of the positive mass theorem for graphical manifolds
28.01.2026 11:30 - 12:30
Organiser:
T. Körber, A. Molchanova, F. Rupp
Location: