Sub-actions for geodesic flows on locally CAT(-1) spaces
Dynamical Systems
2024-10-02 v1 Metric Geometry
Abstract
We extend a result of Lopes and Thieullen on sub-actions for smooth Anosov flows to the setting of geodesic flow on locally CAT(-1) spaces. This allows us to use arguments originally due to Croke and Dairbekov to prove a volume rigidity theorem for some interesting locally CAT(-1) spaces, including quotients of Fuchsian buildings and surface amalgams.
Cite
@article{arxiv.2410.00642,
title = {Sub-actions for geodesic flows on locally CAT(-1) spaces},
author = {David Constantine and Elvin Shrestha and Yandi Wu},
journal= {arXiv preprint arXiv:2410.00642},
year = {2024}
}
Comments
56 pages, 6 figures