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math.DG2026
Positive resolution of Bartnik's cosmological splitting conjecture
Robert J. McCann, Argam Ohanyan
We give a proof of the cosmological splitting conjecture of Robert Bartnik from 1988, which expresses the rigidity of the cosmological Hawking--Penrose singularity theorem. It stat…
math.DG2026
Failure of local equi-Lipschitzness for families of Lorentz distances to Cauchy surface foliations
Gregory J. Galloway, Robert J. McCann, Argam Ohanyan
The families of Lorentzian distance functions to and from points along a complete timelike line in a spacetime are known to be locally equi-Lipschitz continuous in a neighborhood o…