On holomorphic sections in Teichmuller spaces

被引：2

作者：

Sun, Ming Feng ^{[1
]}

Shen, Yu Liang ^{[1
]}

机构：

[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2009年 / 25卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Teichmuller space; Bers fiber space; Teichmuller curve; holomorphic section; puncture-forgetting mapping; FIBER SPACES; RIEMANN SURFACES; ISOMORPHISMS; EXTENSION; MAPPINGS;

D O I：

10.1007/s10114-009-0445-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that, for any elementary torsion free Fuchsian group I", the natural projection from the Teichmuller curve V(I") to the Teichmuller space T(I") has no holomorphic section.

引用

页码：2023 / 2034

页数：12

共 24 条

[1] A NON-STANDARD INTEGRAL EQUATION WITH APPLICATIONS TO QUASICONFORMAL MAPPINGS [J].

BERS, L .

ACTA MATHEMATICA UPPSALA, 1966, 116 (1-2) :113-&

[2] FIBER SPACES OVER TEICHMULLER SPACES [J].

BERS, L .

ACTA MATHEMATICA, 1973, 130 (1-2) :89-126

[3] An isomorphism theorem for Teichmuller curves [J].

Cai Yongmao ;

Shen Yuliang .

SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (05) :577-586

[4]

Cartan H., 1957, Quotient d'un espace analytique par un groupe d'automorphismes, P90

[5] CONFORMALLY NATURAL EXTENSION OF HOMEOMORPHISMS OF THE CIRCLE [J].

DOUADY, A ;

EARLE, CJ .

ACTA MATHEMATICA, 1986, 157 (1-2) :23-48

[6]

Earle C., 2002, CONT MATH, V311, P87, DOI DOI 10.1090/CONM/311/05448

[7]

Earle C., 1976, ACTA MATH-DJURSHOLM, V137, P49, DOI [10.1007/BF02392412, DOI 10.1007/BF02392412]

[8]

Earle C.J., 2000, Contemp. Math, V256, P17, DOI DOI 10.1090/C0NM/256/03995

[9]

Earle C.J., 1974, HOLOMORPHIC MAPPINGS, P107

[10] ON HOLOMORPHIC CROSS-SECTIONS IN TEICHMULLER SPACES [J].

EARLE, CJ .

DUKE MATHEMATICAL JOURNAL, 1969, 36 (02) :409-&

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