Holomorphic families of isomorphisms of Möbius groups
In this paper the author reproves and sharpens a result of D. Sullivan showing that the members of an analytic family of isomorphic Kleinian groups are quasiconformally conjugate to one another. The proof uses a recent result of the author and H. S. Royden which characterises those quasiconformal mappings in a certain class having harmonic Beltrami coefficient.
scientific article; zbMATH DE number 3964354