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Pseudo Harmonic Morphisms

Eric Loubeau
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Abstract

We study a geometrical condition (PHWC) which is weaker than horizontal weak conformality. In particular, we show that harmonic maps satisfying this condition, which will be called {\em pseudoharmonic morphisms}, include harmonic morphisms and can be described as pulling back certain germs to certain other germs. Finally, we construct a canonical f-structure associated to every map satisfying (PHWC) and find conditions on this f-structure to ensure the harmonicity of the map.

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Eric Loubeau. 1996-08-09. Pseudo Harmonic Morphisms. https://arxiv.org/abs/dg-ga/9608003

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