Weierstrass representations for harmonic morphisms on Euclidean spaces and spheres
classification
dg-ga
math.DG
keywords
harmonicmorphismseuclideanrepresentationsspacesspherescomplex-valuedconstruct
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We construct large families of harmonic morphisms which are holomorphic with respect to Hermitian structures by finding heierarchies of Weierstrass-type representations. This enables us to find new examples of complex-valued harmonic morphisms from Euclidean spaces and spheres.
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