Harmonic morphisms from homogeneous Hadamard manifolds
Author
Summary, in English
We present a new method for manufacturing complex-valued harmonic
morphisms from a wide class of Riemannian Lie groups. This yields new
solutions from an important family of homogeneous Hadamard manifolds. We
also give a new method for constructing left-invariant foliations on a large class of Lie groups producing harmonic morphisms.
morphisms from a wide class of Riemannian Lie groups. This yields new
solutions from an important family of homogeneous Hadamard manifolds. We
also give a new method for constructing left-invariant foliations on a large class of Lie groups producing harmonic morphisms.
Department/s
- Mathematics (Faculty of Sciences)
- Differential Geometry
Publishing year
2011
Language
English
Pages
215-230
Publication/Series
Annals of Global Analysis and Geometry
Volume
39
Links
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: 1572-9060