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Biconformal changes of metric and pseudo-harmonic morphisms

2004/08/27 by Radu Slobodeanu, Slobodeanu, Radu
Computer Science · Mathematics · #53C56 #53D10 #53D15 #Advanced Mathematical Modeling in Engineering #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.DG #msc:53C56 #msc:53D10 #msc:53D15

paper · pdf · doi:10.48550/arxiv.math/0408387

openalex publication_date 2004/08/27 · arxiv created 2004/11/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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