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Abstract
We study left-invariant complex-valued harmonic morphisms from Riemannian
Lie groups. We show that in each dimension greater than 3 there exist Riemannian Lie groups that do not have any such solutions.
Lie groups. We show that in each dimension greater than 3 there exist Riemannian Lie groups that do not have any such solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 1-10 |
| Journal | Annals of Global Analysis and Geometry |
| Volume | 45 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2014 |
Subject classification (UKÄ)
- Mathematical Sciences
Free keywords
- Harmonic morphisms
- Minimal submanifolds
- Lie groups
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