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Intrinsic flat convergence with bounded Ricci curvature

Ponente: Michael Munn
Institución: New York University
Cuándo 25/05/2015
de 13:00 a 14:30
Dónde Salon de Seminarios Graciela Salicrup
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In their work introducing the intrinsic flat distance, Sormani-Wenger address (among many other things) the relationship between Gromov-Hausdorff limits and intrinsic flat limits of complete Riemannian manifolds. In particular, they show that for a sequence of Riemannian manifolds with nonnegative Ricci curvature, a uniform upper bound on diameter, and non-collapsed volume, the intrinsic flat limit exists and agrees with the Gromov-Hausdorff limit. This can be viewed as a non-cancellation theorem showing that for such sequences points don't cancel each other out in the limit.
In this work, we extend this result to show that there is no cancellation when replacing the assumption of nonnegative Ricci curvature with a two-sided bound on the Ricci curvature.