On extremal quasiconformal mappings of non-landslide type

Jinhua, Fan

doi:10.1090/S0002-9939-2011-10955-9

On extremal quasiconformal mappings of non-landslide type
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Proc. Amer. Math. Soc. 139 (2011), 2729-2733 Request permission

Abstract:

Let $S=\{(x,y): 0<x<1, 0<y<1\}$, and let $f$ be a quasiconformal mapping on $S$. It is proved that there is at least one extremal quasiconformal mapping of non-landslide type in the Teichmüller equivalence class $[f]$. This gives a positive answer to the problem proposed by Z. Li in a recent paper.

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