Homogeneous Riemann surface
Template:Riemann surface property
Definition
A Riemann surface is termed homogeneous, transitive, conformally homogeneous, or conformally transitive if it satisfies the following equivalent conditions:
- The conformal automorphism group acts transitively on the points of the Riemann surface
- Given any two points of the Riemann surface, there is a bijective biholomorphic mapping from the surface to itself that sends the first point to the second.