Complete minimal submanifolds of compact Lie groups
Author
Summary, in English
We give a new method for manifacturing 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.
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.
Department/s
- Mathematics (Faculty of Sciences)
- Differential Geometry
Publishing year
2016
Language
English
Pages
993-1005
Publication/Series
Mathematische Zeitschrift
Volume
282
Document type
Journal article
Publisher
Springer
Topic
- Geometry
Keywords
- harmonic morphisms
- minimal submanifolds
- Lie groups
Status
Published
Research group
- Differential Geometry
ISBN/ISSN/Other
- ISSN: 0025-5874