Work

Marked length spectrum rigidity for relatively hyperbolic groups

Year: 2022

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2207.05296

Authors: Nguyen, Thang, Wang, Shi

Institutions: Florida State University, ShanghaiTech University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Michigan State University, College of Engineering, Michigan State University

OpenAlex ID: W4285428922

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