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math.DG2025
Initial data rigidity implies spacetime rigidity
Jonathan Glöckle
In this article, we revisit the initial data rigidity theorem of Eichmair, Galloway and Mendes (arxiv:2009.09527). The goal is to strengthen their result by showing that the initia…
math.DG2021★ 1 cited
An Enlargeability Obstruction for Spacetimes with both Big Bang and Big Crunch
Jonathan Glöckle
Given a spacelike hypersurface of a time-oriented Lorentzian manifold , the pair consisting of the induced Riemannian metric and the…
math.DG2021★ 1 cited
Dominant energy condition and spinors on Lorentzian manifolds
Bernd Ammann, Jonathan Glöckle
Let be a time- and space-oriented Lorentzian spin manifold, and let be a compact spacelike hypersurface of with induced Riemannian met…