The paper reviews progress on geometric stability of the zero ADM mass rigidity theorem and states that it remains an open question which notion of geometric convergence best captures this stability even in three dimensions.
Intrinsic flat stability of manifolds with bound- ary where volume converges and distance is bounded below.Comm
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Geometric Stability of the Schoen-Yau Zero Mass Theorem
The paper reviews progress on geometric stability of the zero ADM mass rigidity theorem and states that it remains an open question which notion of geometric convergence best captures this stability even in three dimensions.