Simple curves in Rn and Ahlfors' Schwarzian derivative

被引：17

作者：

Chuaqui, M ^{[1
]}

Gevirtz, J ^{[1
]}

机构：

[1] Catholic Univ Chile, Fac Matemat, Santiago 22, Chile

来源：

关键词：

Schwarzian derivative; Nehari criteria; injectivity; extremal function;

D O I：

10.1090/S0002-9939-03-07013-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive sharp injectivity criteria for mappings f : ( 1; 1) --> R-n in terms of Ahlfors' definition of the Schwarzian derivative for such mappings.

引用

页码：223 / 230

页数：8

共 6 条

[1]

Ahlfors L. V., 1988, COMPLEX ANAL, P1

[2]

CHUAQUI M, 1993, ANN ACAD SCI FENN-M, V18, P117

[3] ON THE NEHARI UNIVALENCE CRITERION AND QUASICIRCLES [J].

GEHRING, FW ;

POMMERENKE, C .

[4]

Laugwitz D., 1965, DIFFERENTIAL RIEMANN

[5] THE SCHWARZIAN DERIVATIVE AND SCHLICHT FUNCTIONS [J].

NEHARI, Z .

[6] UNIVALENCE CRITERIA DEPENDING ON THE SCHWARZIAN DERIVATIVE [J].

NEHARI, Z .