Douady-Earle section, holomorphic motions, and some applications

被引：9

作者：

Jiang, Yunping ^{[1
]}

Mitra, Sudeb ^{[1
]}

机构：

[1] CUNY, Queens Coll, Dept Math, New York, NY 10021 USA

来源：

QUASICONFORMAL MAPPINGS, RIEMANN SURFACES, AND TEICHMULLER SPACES | 2012年 / 575卷

关键词：

Teichmuller spaces; holomorphic motions; quasiconformal motions; continuous motions; FAMILIES; EXTENSIONS; ISOMORPHISMS;

D O I：

10.1090/conm/575/11400

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We review several applications of Douady-Earle section to holomorphic motions over infinite dimensional parameter spaces. Using Douady-Earle section we study group-equivariant extensions of holomorphic motions. We also discuss the relationship between extending holomorphic motions and lifting holomorphic maps. Finally, we discuss several applications of holomorphic motions in complex analysis.

引用

页码：219 / 251

页数：33

共 39 条

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