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.
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页码：41 / 59
页数：18
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