Weierstrass representations for harmonic morphisms on Euclidean spaces and spheres

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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.
Minor revision adding example. Latex 2.09. 14 pages

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Differential Geometry, 58E20

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http://salesiana.dossiersoluciones.com/handle/123456789/147613

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9512010
 http://arxiv.org/abs/dg-ga/9512010

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arXiv