Homogeneous Riemann surface: Difference between revisions
(New page: {{Riemann surface property}} ==Definition== A Riemann surface is termed '''homogeneous''', '''transitive''', '''conformally homogeneous''', or '''conformally transitive''' if it sati...) |
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Revision as of 23:25, 20 April 2008
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.