Marked length spectrum rigidity for relatively hyperbolic groups
Geometric Topology
2022-07-13 v1 Group Theory
Metric Geometry
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.
Cite
@article{arxiv.2207.05296,
title = {Marked length spectrum rigidity for relatively hyperbolic groups},
author = {Thang Nguyen and Shi Wang},
journal= {arXiv preprint arXiv:2207.05296},
year = {2022}
}
Comments
16 pages, comments are welcome!