The distance between homotopy classes of S1-valued maps in multiply connected domains

被引：0

作者：

Jacob Rubinstein

Itai Shafrir

机构：

[1] Technion,Department of Mathematics

[2] Indiana University,Mathematics Department

来源：

Israel Journal of Mathematics | 2007年 / 160卷

关键词：

Sobolev Space; Disjoint Union; Nematic Liquid Crystal; Connected Domain; Homotopy Class;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Certain Sobolev spaces of S1-valued functions can be written as a disjoint union of homotopy classes. The problem of finding the distance between different homotopy classes in such spaces is considered. In particular, several types of one-dimensional and two-dimensional domains are studied. Lower bounds are derived for these distances. Furthermore, in many cases it is shown that the lower bounds are sharp but are not achieved.

引用

页码：41 / 59

页数：18

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