Geometry of infinite-dimensional Teichmuller spaces

被引：0
|
作者：
Li, Z [1 ]
机构：
[1] Peking Univ, Dept Math, Beijing 100871, Peoples R China
来源：
PROGRESS IN NATURAL SCIENCE-MATERIALS INTERNATIONAL | 1999年 / 9卷 / 05期
关键词：
Riemann surfaces; Teichmuller spaces; quasiconformal mappings; Busemann geometry of geodesics;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The purpose of this paper is to survey the new advances in the research on the metric geometry of infinite-dimensional Teichmuller spaces in recent years. It contains the following problems and their solutions: the nonuniqueness of geodesic segments; the relation between the uniqueness of segments and the uniqueness of extremal Beltrami differentials; non-convexity of spheres and non-differentiability of the Teichmuller metric; isometrically embedded polydisks; Busemann points and Strebel points, and their equivalence.
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页码：321 / 329
页数：9
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