Optimal transport on the sub-Lorentzian Heisenberg group
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915227684044800 |
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| author | Borza, Samuël Klingenberg, Wilhelm Wood, Patrick |
| author_facet | Borza, Samuël Klingenberg, Wilhelm Wood, Patrick |
| contents | We investigate the synthetic metric spacetime structure of the sub-Lorentzian Heisenberg group and we study the optimal transport problem in this space. The sub-Lorentzian version of Brenier's theorem is established in this setting. Finally, we provide examples of optimal transport maps and derive a sub-Lorentzian Monge-Ampère equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03062 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimal transport on the sub-Lorentzian Heisenberg group Borza, Samuël Klingenberg, Wilhelm Wood, Patrick Metric Geometry Differential Geometry 53C50, 53C17, 49Q22 We investigate the synthetic metric spacetime structure of the sub-Lorentzian Heisenberg group and we study the optimal transport problem in this space. The sub-Lorentzian version of Brenier's theorem is established in this setting. Finally, we provide examples of optimal transport maps and derive a sub-Lorentzian Monge-Ampère equation. |
| title | Optimal transport on the sub-Lorentzian Heisenberg group |
| topic | Metric Geometry Differential Geometry 53C50, 53C17, 49Q22 |
| url | https://arxiv.org/abs/2504.03062 |