Holomorphic Dynamics on Hyperbolic Riemann Surfaces

This completely revised and updated edition of the author's classic older book Iteration Theory of Holomorphic Maps on Taut Manifolds presents the theory of holomorphic dynamical systems on hyperbolic complex manifolds, in one and in several complex variables. Furthermore, it also contains an introduction to the theory of invariant distances and metrics on complex manifolds, with applications to geometric function theory.