Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 215-230 |
| Journal | Annals of Global Analysis and Geometry |
| Volume | 39 |
| DOIs | |
| Publication status | Published - 2011 |
Subject classification (UKÄ)
- Geometry
Free keywords
- harmonic morphisms
- minimal submanifolds
- Lie groups