Harmonic morphisms with one-dimensional fibres on Einstein manifolds
classification
🧮 math.DG
keywords
einsteinfibresharmonicone-dimensionalassumptionbryantconclusionconstant
read the original 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.
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