Marked length spectrum rigidity for relatively hyperbolic groups

Thang Nguyen; Shi Wang

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arXiv · 2207.05296

Marked length spectrum rigidity for relatively hyperbolic groups

Thang Nguyen·Shi Wang

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Abstract

We consider a coarse version of the marked length spectrum rigidity: given a group with two left invariant metrics, if the marked length spectrum (the translation length function) under the two metrics are the same, then the two metrics are uniformly close. We prove the rigidity theorem for relatively hyperbolic groups. This generalizes a result of Fujiwara.

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BibTeX RIS

Thang Nguyen, Shi Wang. 2022-07-12. Marked length spectrum rigidity for relatively hyperbolic groups. https://arxiv.org/abs/2207.05296

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