A lower bound for Torelli-K-quasiconformal homogeneity
نویسندگان
چکیده
A closed hyperbolic Riemann surfaceM is said to beK-quasiconformally homogeneous if there exists a transitive family F of K-quasiconformal homeomorphisms. Further, if all [f ] ⊂ F act trivially on H1(M ;Z), we say M is Torelli-K-quasiconformally homogeneous. We prove the existence of a uniform lower bound on K for Torelli-K-quasiconformally homogeneous Riemann surfaces. This is a special case of the open problem of the existence of a lower bound on K for (in general nonTorelli) K-quasiconformally homogeneous Riemann surfaces.
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تاریخ انتشار 2014