Complete minimal submanifolds of compact Lie groups

被引：0
|
作者：
Sigmundur Gudmundsson
Martin Svensson
Marina Ville
机构：
[1] Lund University,Department of Mathematics, Faculty of Science
[2] University of Southern Denmark,Department of Mathematics and Computer Science
[3] Université F. Rabelais,Départment de Mathématiques
来源：
Mathematische Zeitschrift | 2016年 / 282卷
关键词：
Harmonic morphisms; Minimal submanifolds; Lie groups; 58E20; 53C43; 53C12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give a new method for manufacturing complete minimal submanifolds of compact Lie groups and their homogeneous quotient spaces. For this we make use of harmonic morphisms and basic representation theory of Lie groups. We then employ our method to construct many examples of compact minimal submanifolds of the special unitary groups.
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页码：993 / 1005
页数：12
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