Schwarz reflection geometry II: Local and global behavior of the exponential map

被引：3
|
作者：
Calini, Annalisa [1 ]
Langer, Joel
机构：
[1] Coll Charleston, Dept Math, Charleston, SC 29424 USA
[2] Case Western Reserve Univ, Dept Math, Cleveland, OH 44106 USA
来源：
EXPERIMENTAL MATHEMATICS | 2007年 / 16卷 / 03期
关键词：
Schwarz reflection; symmetric space; Witt algebra;
D O I：
10.1080/10586458.2007.10129010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A local normal form is obtained for geodesics in the space Lambda = {Gamma} of analytic Jordan curves in the extended complex plane with symmetric space multiplication Gamma(1) . Gamma(2) defined by Schwarzian reflection of Gamma(2) in Gamma(1). Local geometric features of (Lambda, .) will be seen to reflect primarily the structure of the Witt algebra, while issues of global behavior of the exponential map will be viewed in the context of conformal mapping theory.
引用
收藏
页码：321 / 346
页数：26
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