A Splitting Theorem for non-positively curved Lorentzian spaces
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arXiv
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| Hauptverfasser: | , , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911387267104768 |
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| author | Barton, Joe Beran, Tobias Che, Mauricio Gieger, Sebastian Röhrig, Jona Rott, Felix |
| author_facet | Barton, Joe Beran, Tobias Che, Mauricio Gieger, Sebastian Röhrig, Jona Rott, Felix |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14058 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Splitting Theorem for non-positively curved Lorentzian spaces Barton, Joe Beran, Tobias Che, Mauricio Gieger, Sebastian Röhrig, Jona Rott, Felix Differential Geometry Mathematical Physics Metric Geometry 53C23, 51K10, 53C50, 53B30 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. |
| title | A Splitting Theorem for non-positively curved Lorentzian spaces |
| topic | Differential Geometry Mathematical Physics Metric Geometry 53C23, 51K10, 53C50, 53B30 |
| url | https://arxiv.org/abs/2601.14058 |