2 papers
math.DG2023
Intrinsic flat stability of the positive mass theorem for asymptotically hyperbolic graphical manifolds
Armando J. Cabrera Pacheco, Melanie Graf, Raquel Perales
The rigidity of the Riemannian positive mass theorem for asymptotically hyperbolic manifolds states that the total mass of such a manifold is zero if and only if the manifold is is…
math.MG2014
Volumes and Limits of Manifolds with Ricci Curvature and Mean Curvature Bounds
Raquel Perales
We prove a laplacian comparison theorem in the barrier sense for the function distance to the boundary of Riemannian manifolds with nonnegative Ricci curvature, area and mean curva…