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Biconformal changes of metric and pseudo-harmonic morphisms

Radu Slobodeanu
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Abstract

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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Radu Slobodeanu. 2004-11-11. Biconformal changes of metric and pseudo-harmonic morphisms. https://arxiv.org/abs/math/0408387

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