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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.08019 |
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| _version_ | 1866908699465875456 |
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| author | Gongopadhyay, Krishnendu Mondal, Neelanjan |
| author_facet | Gongopadhyay, Krishnendu Mondal, Neelanjan |
| contents | In this article, we extend Thurston's asymmetric metric and the associated Finsler norm, originally defined for Teichmüller space, to the setting of Margulis spacetimes. We also establish several convexity properties of both the asymmetric metric and the corresponding Finsler norm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08019 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thurston's asymmetric metric on Margulis spacetimes Gongopadhyay, Krishnendu Mondal, Neelanjan Geometric Topology Dynamical Systems Group Theory Primary 22E40, Secondary 53C60, 37D35, 20F67 In this article, we extend Thurston's asymmetric metric and the associated Finsler norm, originally defined for Teichmüller space, to the setting of Margulis spacetimes. We also establish several convexity properties of both the asymmetric metric and the corresponding Finsler norm. |
| title | Thurston's asymmetric metric on Margulis spacetimes |
| topic | Geometric Topology Dynamical Systems Group Theory Primary 22E40, Secondary 53C60, 37D35, 20F67 |
| url | https://arxiv.org/abs/2512.08019 |