The quasi-Fuchsian group is essentially uniquely determined by the two Riemann surfaces, so the space of marked quasi-Fuchsian group of the first kind of some fixed genus g can be identified with the product of two copies of Teichmüller space of the same genus.
simultaneous, uniformization, theorem, mathematics, simultaneous, uniformization, theorem, proved, bers, 1960, states, that, possible, simultaneously, uniformize, different, riemann, surfaces, same, genus, using, quasi, fuchsian, group, first, kind, quasi, fuc. In mathematics the simultaneous uniformization theorem proved by Bers 1960 states that it is possible to simultaneously uniformize two different Riemann surfaces of the same genus using a quasi Fuchsian group of the first kind The quasi Fuchsian group is essentially uniquely determined by the two Riemann surfaces so the space of marked quasi Fuchsian group of the first kind of some fixed genus g can be identified with the product of two copies of Teichmuller space of the same genus References EditBers Lipman 1960 Simultaneous uniformization Bulletin of the American Mathematical Society 66 2 94 97 doi 10 1090 S0002 9904 1960 10413 2 ISSN 0002 9904 MR 0111834 Retrieved from https en wikipedia org w index php title Simultaneous uniformization theorem amp oldid 1061607338, wikipedia, wiki, book, books, library,
