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Title (deu)
Rigidity of mass-preserving 1-Lipschitz maps from integral current spaces into Euclidean space
Speaker / Lecturer
Raquel Perales
CIMAT, Guanajuato
Description (deu)
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). The talk is mostly based on joint project with Beran, Braun, Calisti, McCann, Ohanyan, Rott, Saemann.
Keywords (deu)
Synthetic Curvature BoundsNon-Smooth SpacesBeyond Finite Dimension
Subject (eng)
ÖFOS 2012 -- 101 -- Mathematics
Type (eng)
lecture
Language
[eng]
Persistent identifier
https://phaidra.univie.ac.at/o:2068067
Date created
2024-05-21
Place of creation (eng)
ESI
Duration
42 minutes 09 seconds
Association (eng)
Research Platform Erwin Schrödinger International Institute for Mathematical Physics (ESI)
License
All rights reserved