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ON THE LANDSLIDE SET OF EXTREMAL QUASICONFORMAL MAPPINGS

ON THE LANDSLIDE SET OF EXTREMAL QUASICONFORMAL MAPPINGS

In this paper, it is shown that if an extremal quasiconformal mapping f is of landslide type, then there exists another extremal quasiconformal mapping f~ in the Teichmüller equivalence class [f] such that the Beltrami differential of f~ is identical to a given Beltrami differential on the neighborhood of a …