Session S19 - Geometric and Analytic Aspects of General Relativity

Monday, July 12, 19:00 ~ 20:00 UTC-3

Intrinsic flat convergence of points and manifolds and applications to stability of the positive mass theorem

Raquel Perales

IMATE UNAM, Oaxaca , Mexico   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this talk we will revisit the intrinsic flat stability result for the case of graphical hypersurfaces of Euclidean space shown by Huang-Lee-Sormani and will explain how to prove it using new results by Allen-Perales and Huang-Lee-Perales. These new results consist of a convergence theorem with respect to the intrinsic flat distance and the compatibility of the convergence of sequences of points whenever one has intrinsic flat and Gromov-Hausdorff convergence of a sequence of manifolds.

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