Weierstrass representations for harmonic morphisms on Euclidean spaces and spheres
P. Baird, J. C. Wood
Abstract
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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