3 papers
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.MG2026
A synthetic Lorentzian Cartan-Hadamard theorem
Darius Erös, Sebastian Gieger
We formulate and prove a synthetic Lorentzian Cartan-Hadamard theorem. This result both transfers the corresponding statement for locally convex metric spaces established by S. Ale…
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…