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math.DG2026
Doubling for chronological diamonds in Lorentzian geometry
Mauricio Che, Sebastian Gieger, Clemens Sämann
We define doubling conditions for measured Lorentzian length spaces in terms of chronological diamonds, and prove that such conditions are implied by suitable timelike curvature bo…
math.DG2026
A Splitting Theorem for non-positively curved Lorentzian spaces
Joe Barton, Tobias Beran, Mauricio Che +3
We prove a splitting theorem for Lorentzian pre-length spaces with global non-positive timelike curvature. Additionally, we extend the first variation formula to spaces with any ti…
math.DG2021
On spaces with nonnegative curvature outside a compact set
Mauricio Che, Jesús Núñez-Zimbrón
In this paper we adapt work of Z.-D. Liu to prove a ball covering property for non-branching spaces with nonnegative curvature outside a compact set. As a consequence…