A Splitting Theorem for non-positively curved Lorentzian spaces
Differential Geometry
2026-01-21 v1 Mathematical Physics
Metric Geometry
math.MP
Abstract
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 timelike curvature bound, either from above or below, and different from 0.
Keywords
Cite
@article{arxiv.2601.14058,
title = {A Splitting Theorem for non-positively curved Lorentzian spaces},
author = {Joe Barton and Tobias Beran and Mauricio Che and Sebastian Gieger and Jona Röhrig and Felix Rott},
journal= {arXiv preprint arXiv:2601.14058},
year = {2026}
}
Comments
41 pages, 12 figures