Harmonic Morphisms between Riemannian Manifolds
نویسندگان
چکیده
Harmonic morphisms are mappings between Riemannian manifolds which preserve Laplace’s equation. They can be characterized as harmonic maps which enjoy an extra property called horizontal weak conformality or semiconformality. We shall give a brief survey of the theory concentrating on (i) twistor methods, (ii) harmonic morphisms with one-dimensional fibres; in particular we shall outline the connections with two equations of Mathematical Physics: the monopole equation and the Beltrami fields equation of hydrodynamics.
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