Weierstrass representations for harmonic morphisms on Euclidean spaces and spheres

Details Weierstrass representations for harmonic morphisms on Euclidean spaces and spheres Weierstrass representations for harmonic morphisms on Euclidean spaces and spheres

1995-12-20

arxiv.org/abs/dg-ga/9512010v2

Mathematics

Differential Geometry

Minor revision adding example. Latex 2.09. 14 pages

Scientific paper

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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