paper

Sub-actions for geodesic flows on locally CAT(-1) spaces

arXiv:2410.00642

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.

56 pages, 6 figures

Sub-actions for geodesic flows on locally CAT(-1) spaces · wovepaper