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

Radu Pantilie

math.DGarXiv:math/0610361

Abstract

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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