Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
ON THE LANDSLIDE SET OF EXTREMAL QUASICONFORMAL MAPPINGS
Guowu YAO
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2015 年 69 巻 2 号 p. 285-291

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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 landslide point. The key tool of the proof is the Reich-Strebel inequality.
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© 2015 Faculty of Mathematics, Kyushu University
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