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Extremal Beltrami Differentials of Non-Landslide Type

Part of: Geometric function theory

Published online by Cambridge University Press:  25 October 2016

Guowu Yao
Guowu Yao*
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People's Republic of China (gwyao@math.tsinghua.edu.cn)
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Abstract

In this paper it is shown that there are infinitely many extremal Beltrami differentials of non-landside type and non-constant modulus in a Teichmüller equivalence class if the class contains a landslide extremal. The result answers, affirmatively in a stronger sense, a problem posed by Li.

Keywords

Teichmüller spacequasi-conformal mapnon-landslide extremal

MSC classification

Secondary: 30C75: Extremal problems for conformal and quasiconformal mappings, other methods 30C62: Quasiconformal mappings in the plane
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 60 , Issue 2 , May 2017 , pp. 519 - 526
Copyright
Copyright © Edinburgh Mathematical Society 2017 

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