Local product structure for equilibrium states of geodesic flows and applications
Abstract
Let $ S $ be a compact surface of genus $ \geq 2 $ equipped with a metric that is flat everywhere except at finitely many cone points with angles greater than $ 2\pi $. We examine the geodesic flow on $ S $ and prove local product structure for a wide class of equilibrium states. Using this, we establish the Bernoulli property for these systems. We also establish local product structure for a similar class of equilibrium states for geodesic flows on rank 1, nonpositively curved manifolds.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Geometric Analysis and Curvature Flows
Advanced Differential Geometry Research
Publication details
- Journal / source
- Journal of Modern Dynamics
- Volume
- 22
- Issue
- 0
- Pages
- 133–203
- Publication date
- 1 January 2026
- Language
- EN