Quasi-isometric center action in dimension 3

Key Points

• The research establishes that diffeomorphisms are connected to skew-products or discretized Anosov flows.
• Key findings indicate that diffeomorphisms act quasi-isometrically on a center foliation in three dimensions.
• The study focuses on partially hyperbolic diffeomorphisms, analyzing their behavior through finite lift and iterate.
• Understanding the nature of these diffeomorphisms may provide deeper insights into the dynamics of three-dimensional systems.