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arXiv · 2601.14058

A Splitting Theorem for non-positively curved Lorentzian spaces

Joe Barton·Tobias Beran·Mauricio Che·Sebastian Gieger·Jona Röhrig·Felix Rott
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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.

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Joe Barton, Tobias Beran, Mauricio Che, Sebastian Gieger, Jona Röhrig, Felix Rott. 2026-01-20. A Splitting Theorem for non-positively curved Lorentzian spaces. https://arxiv.org/abs/2601.14058

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