Statistical behaviour of the leaves of Riccati foliations
Statistical behaviour of the leaves of Riccati foliations
Abstract We introduce the geodesic flow on the leaves of a holomorphic foliation with leaves of dimension one and hyperbolic, corresponding to the unique complete metric of curvature −1 compatible with its conformal structure. We do these for the foliations associated to Riccati equations, which are the projectivization of the …