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math.CV2021
A generalization of the Picard theorem
V. A. Zorich
We recall the notions of conformal and quasiconformal mappings \textit{in the sense of Gromov}, extending the classical notions of conformal and quasiconformal mappings, and prove…
math.CV2021★ 2 cited
Invertibility of quasiconformal operators
V. A. Zorich
The global homeomorphism theorem for quasiconformal maps describes the following specifically higher-dimensional phenomenon: {\em Locally invertible quasiconformal mapping $f: {\R}…
math.CV2021★ 3 cited
Conformality in the sense of Gromov and a generalized Liouville theorem
V. A. Zorich
M.Gromov extended the concepts of conformal and quasiconformal mapping to the mappings acting between the manifolds of different dimensions. For instance, any entire holomorphic fu…