Asserts the existence and uniqueness of the extremal quasiconformal map between two compact Riemann surfaces of the same genus modulo an equivalence relation.
Teichmüller's Theorem
See also
Teichmüller SpaceExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Teichmüller's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TeichmuellersTheorem.html