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arXiv · 2604.02210

Rigidity of the timelike marked length spectrum and length-twist coordinates of singular de-Sitter tori

Martin Mion-Mouton
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Abstract

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.

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Martin Mion-Mouton. 2026-04-02. Rigidity of the timelike marked length spectrum and length-twist coordinates of singular de-Sitter tori. https://arxiv.org/abs/2604.02210

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