10 dec 2025 -- 12:15   [open in google calendar]

SNS, Aula Mancini

Abstract.

We will prove that given an n–dimensional integral current space and a 1–Lipschitz map, from this space onto the n–dimensional Euclidean ball, that preserves the mass of the current and is injective on the boundary, the map has to be an isometry. We deduce as a consequence the stability of the positive mass theorem for graphical manifolds as originally formulated by Huang–Lee–Sormani. (Joint work with G. Del Nin.)