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math.DG2026
Quantitative Lorentzian isoperimetric inequalities in conical Minkowski spacetimes
Christian Lange, Jonas W. Peteranderl
We establish optimal stability estimates in terms of the Fraenkel asymmetry with universal dimensional constants for a Lorentzian isoperimetric inequality due to Bahn and Ehrlich a…
math.DG2026
Hausdorff-type metric geometry of the space of Cauchy hypersurfaces
Christian Lange, Jonas W. Peteranderl
We equip the space of Cauchy hypersurfaces in a globally hyperbolic spacetime with a natural Hausdorff-type metric. For a timelike Cauchy complete, smooth Lorentzian manifold with…