Rigidity of mass-preserving 1-Lipschitz maps from integral current spaces into Euclidean space

Raquel Perales (CIMAT)

May 21. 2024, 16:10 — 16:55

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, then 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).

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension (Workshop)
Organizer(s):
Lorenzo Dello Schiavo (ISTA, Klosterneuburg)
Christian Ketterer (ALU Freiburg)
Chiara Rigoni (U of Vienna)