Intrinsic Flat Stability of the Positive Mass Theorem for Graphical Manifolds

Overview

Explore a 53-minute lecture on the intrinsic flat stability of the positive mass theorem for graphical manifolds, presented by Raquel Perales from IMUNAM Oaxaca at the Institut des Hautes Etudes Scientifiques (IHES). Delve into the rigidity of the Riemannian positive mass theorem for asymptotically flat or hyperbolic manifolds, which states that the total mass of such a manifold is zero if and only if it is isometric to Euclidean or hyperbolic space, respectively. Examine the stability results obtained by Huang-Lee-Sormani, Allen-Perales, and Huang-Lee-Perales for asymptotically flat graphical manifolds using the intrinsic flat distance. Learn about an ongoing project with A. Cabrera Pacheco and M. Graf, investigating analogous results for asymptotically hyperbolic graphical manifolds.

Syllabus

Raquel Perales - Intrinsic flat stability of the positive mass theorem for graphical manifolds

Taught by

Institut des Hautes Etudes Scientifiques (IHES)

Reviews

Start your review of Intrinsic Flat Stability of the Positive Mass Theorem for Graphical Manifolds

Taught by

Convergence of Manifolds and Metric Spaces

Rigidity of Mass-Preserving 1-Lipschitz Maps from Integral Current Spaces into Euclidean Spaces

Positive Mass Theorem for Asymptotically Hyperbolic Manifolds

Positive Mass Theorem for Asymptotically Flat Manifolds with Isolated Conical Singularities

Mass-Capacity Inequalities and Their Implications in Asymptotically Flat Manifolds

Density and Positive Mass Theorems for Black Holes and Incomplete Manifolds

Never Stop Learning.