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

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

2006-10-11

arxiv.org/abs/math/0610361v1

Mathematics

Differential Geometry

13 pages

Scientific paper

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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