Departmental Bulletin Paper ON THE LANDSLIDE SET OF EXTREMAL QUASICONFORMAL MAPPINGS

Yao, Guowu

69 ( 2 )  , pp.285 - 291 , 2015-10-13 , Faculty of Mathematics, Kyushu University
ISSN:1340-6116
NCID:AA10994346
Description
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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