On the geodesic flow on CAT(0) spaces
Geometric Topology
2025-04-07 v4 Differential Geometry
Metric Geometry
Abstract
Under certain assumptions on CAT(0) spaces, we show that the geodesic flow is topologically mixing. In particular, the Bowen-Margulis' measure finiteness assumption used in recent work of Ricks is removed. We also construct examples of CAT(0) spaces which do not admit finite Bowen-Margulis measure.
Cite
@article{arxiv.1509.05741,
title = {On the geodesic flow on CAT(0) spaces},
author = {Charalampos Charitos and Ioannis Papadoperakis and Georgios Tsapogas},
journal= {arXiv preprint arXiv:1509.05741},
year = {2025}
}
Comments
27 pages, 1 figure