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In a very influential paper Gehring and Palka introduced the notions of quasiconformally homogeneous and uniformly quasiconformally homogeneous subsets of $$\overline{\mathbb {R}}^n$$ R ¯ n . Their definition was later extended to hyperbolic manifolds. In this paper we survey the theory of quasiconformally homogeneous subsets of $$\overline{\mathbb {R}}^n$$ R ¯ n and uniformly quasiconformally homogeneous hyperbolic manifolds. We furthermore include a discussion of open problems in the theory.
Computational Methods and Function Theory – Springer Journals
Published: Mar 29, 2014
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