On the existence of harmonic morphisms from certain symmetric spaces
Author
Summary, in English
In this paper we give a positive answer to the open existence problem for complex-valued harmonic morphisms from the non-compact irreducible Riemannian symmetric spaces SLn (R)/SO(n), SU*(2n)/Sp(n) and their compact duals SU(n)/SO(n) and SU(2n)/Sp(n). Furthermore we prove the existence of globally defined, complex-valued harmonic morphisms from any Riemannian symmetric space of type IV.
Department/s
- Mathematics (Faculty of Sciences)
- Differential Geometry
Publishing year
2007
Language
English
Pages
353-366
Publication/Series
Journal of Geometry and Physics
Volume
57
Issue
2
Document type
Journal article
Publisher
Elsevier
Topic
- Geometry
Keywords
- minimal submanifolds
- symmetric spaces
- harmonic morphisms
Status
Published
Research group
- Differential Geometry
ISBN/ISSN/Other
- ISSN: 0393-0440