Definition:Riemann Surface/Hyperbolic
< Definition:Riemann Surface(Redirected from Definition:Hyperbolic Riemann Surface)
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Definition
Definition 1
A Riemann surface is hyperbolic if and only if its universal cover is the unit disk.
Definition 2
A Riemann surface is hyperbolic if and only if it admits a metric of constant negative curvature.
Also see
- Results about Riemann surfaces can be found here.
Source of Name
This entry was named for Georg Friedrich Bernhard Riemann.