The Classification of Harmonic Morphisms to Euclidean Space
نویسنده
چکیده
Harmonic morphism is a smooth map between Riemannian manifolds which pulls back germs of harmonic functions to germs of harmonic functions. It may be charactrized as harmonic maps which are horizontally weakly conformal [5,9]. One task of studying harmonic morphism is constructing concrete examples; Another one is classification of all harmonic morphisms between all special manifolds (in particularly, between connected open set of space forms), see for example [6] and [10]. In particularly, we have
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