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Harmonic morphisms with one-dimensional fibres on Einstein manifolds |
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| Authors: | Radu Pantilie John C. Wood |
| Affiliation: | School of Mathematics, University of Leeds, Leeds LS2 9JT, England ; School of Mathematics, University of Leeds, Leeds LS2 9JT, England |
| Abstract: | We prove that, from an Einstein manifold of dimension greater than or equal to five, there are just two types of harmonic morphism with one-dimensional fibres. This generalizes a result of R.L. Bryant who obtained the same conclusion under the assumption that the domain has constant curvature. |
| Keywords: | Harmonic morphism foliation Einstein manifold |
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