BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Almost Rigidity of the Positive Mass Theorem Sormani, Christina


The Positive Mass Theorem includes a rigidity statement that an asymptotically flat manifold with nonnegative scalar curvature and 0 ADM mass is Euclidean space. The correspond- ing almost rigidity statement that a sequence of asymptotically flat manifolds with nonnegative scalar curvature whose ADM mass converges to 0 should converge in some sense to Euclidean space has only been proven in some settings. I will survey recent results in special settings jointly with Lee, with Huang and Lee, and with Stavrov in which it has been shown that one obtains convergence in the intrinsic flat sense. Intrinsic Flat convergence will be defined and a theorem with Lakzian which allows one to prove intrinsic flat convergence will be presented as well.

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