Local product structure for equilibrium states of geodesic flows and applications

2024/03/26 by Call, Benjamin, Constantine, David, Erchenko, Alena +2
#37D35 #37D40 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.17791

Abstract

Let S be a compact surface of genus ≥ 2 equipped with a metric that is flat everywhere except at finitely many cone points with angles greater than 2π. 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.

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