ON THE LANDSLIDE SET OF EXTREMAL QUASICONFORMAL MAPPINGS

被引：1

作者：

Yao, Guowu ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2015年 / 69卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Teichmuller space; quasiconformal mapping; Reich-Strebel inequality; landslide set;

D O I：

10.2206/kyushujm.69.285

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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) over tilde in the Teichmuller equivalence class [f] such that the Beltrami differential of (f) over tilde 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.

引用

页码：285 / 291

页数：7

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