Pseudo Harmonic Morphisms

Details Pseudo Harmonic Morphisms Pseudo Harmonic Morphisms

1996-08-09

arxiv.org/abs/dg-ga/9608003v1

Mathematics

Differential Geometry

AMS-LaTex v1.2b, 13 pages

Scientific paper

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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