Biconformal changes of metric and pseudo-harmonic morphisms

Details Biconformal changes of metric and pseudo-harmonic morphisms Biconformal changes of metric and pseudo-harmonic morphisms

2004-08-27

arxiv.org/abs/math/0408387v2

Mathematics

Differential Geometry

Scientific paper

Pseudo-harmonic morphisms give rise on the domain space to a distribution
which admits an almost complex structure compatible with the given Riemannian
metric. We shall show that this property, together with the harmonicity, are
preserved by a biconformal change of the domain metric. The special case of the
pseudo-horizontally homothetic harmonic morphisms is also treated.

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