2022/07/12 by Thang Nguyen, Shi Wang, Nguyen, Thang +1
Chemistry · Mathematics · #20F67 #20F69 #58J53 #Coordination Chemistry and Organometallics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Metric Geometry (math.MG)
paper · pdf · doi:10.48550/arxiv.2207.05296
openalex publication_date 2022/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.