The Schwarzian derivative and measured laminations on Riemann surfaces
The Schwarzian derivative and measured laminations on Riemann surfaces
A holomorphic quadratic differential on a hyperbolic Riemann surface has an associated measured foliation that can be straightened to yield a measured geodesic lamination. On the other hand, a quadratic differential can be regarded as the Schwarzian derivative of a CP1-structure, to which one can naturally associate another measured geodesic …