Some properties and applications of harmonic mappings
J. H. Sampson (1978)
Annales scientifiques de l'École Normale Supérieure
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J. H. Sampson (1978)
Annales scientifiques de l'École Normale Supérieure
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Atsushi Tachikawa (1983)
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A harmonic morphism between Riemannian manifolds and is by definition a continuous mappings which pulls back harmonic functions. It is assumed that dim dim, since otherwise every harmonic morphism is constant. It is shown that a harmonic morphism is the same as a harmonic mapping in the sense of Eells and Sampson with the further property of being semiconformal, that is, a conformal submersion of the points where vanishes. Every non-constant harmonic morphism is shown to be...
Alois Švec (1976)
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