Harmonic morphisms with one-dimensional fibres on Einstein manifolds

Details Harmonic morphisms with one-dimensional fibres on Einstein manifolds Harmonic morphisms with one-dimensional fibres on Einstein manifolds

2001-06-13

arxiv.org/abs/math/0106101v1

Mathematics

Differential Geometry

Latex 2e, 21 pages

Scientific paper

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.

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