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arxiv: math/0610361 · v1 · submitted 2006-10-11 · 🧮 math.DG

Harmonic morphisms with one-dimensional fibres on conformally-flat Riemannian manifolds

classification 🧮 math.DG
keywords conformally-flatmanifoldsriemannianfibresharmonicleastmorphismsone-dimensional
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We classify the harmonic morphisms with one-dimensional fibres (1) from real-analytic conformally-flat Riemannian manifolds of dimension at least four, and (2) between conformally-flat Riemannian manifolds of dimensions at least three.

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