Rigidity of the timelike marked length spectrum and length-twist coordinates of singular de-Sitter tori
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910097910792192 |
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| author | Mion-Mouton, Martin |
| author_facet | Mion-Mouton, Martin |
| contents | In this paper, we study the closed timelike geodesics of de-Sitter tori with one singularity and prove their uniqueness in their free homotopy class. We introduce the notion of timelike marked length spectrum of such a torus, and establish its rigidity with respect to the lengths of two homotopy classes of intersection number one. We also construct length-twist coordinates on the deformation space of de-Sitter tori with one singularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02210 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Rigidity of the timelike marked length spectrum and length-twist coordinates of singular de-Sitter tori Mion-Mouton, Martin Differential Geometry Geometric Topology 53C50 (Primary), 57M50, 53C24, 53C22, 51M50 (Secondary) In this paper, we study the closed timelike geodesics of de-Sitter tori with one singularity and prove their uniqueness in their free homotopy class. We introduce the notion of timelike marked length spectrum of such a torus, and establish its rigidity with respect to the lengths of two homotopy classes of intersection number one. We also construct length-twist coordinates on the deformation space of de-Sitter tori with one singularity. |
| title | Rigidity of the timelike marked length spectrum and length-twist coordinates of singular de-Sitter tori |
| topic | Differential Geometry Geometric Topology 53C50 (Primary), 57M50, 53C24, 53C22, 51M50 (Secondary) |
| url | https://arxiv.org/abs/2604.02210 |