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On harmonic morphisms projecting harmonic functions to harmonic functions
For Riemannian manifolds $M$ and $N$, admitting a submersive harmonic morphism $\phi$ with compact fibres, we introduce the vertical and horizontal components of a real-valued function $f$ on $V\subset M$. By comparing the Laplacians on $M$ and $N$, we determine conditions under which a harmonic fun...
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| Lenguaje: | eng |
| Publicado: |
2002
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| Acceso en línea: | http://cds.cern.ch/record/645648 |