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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Masanori Kôzaki, Hidekichi Sumi (1989)
Commentationes Mathematicae Universitatis Carolinae
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Udrişte, C., Neagu, M. (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Todjihounde, Leonard (2006)
International Journal of Mathematics and Mathematical Sciences
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Deane Yang (1992)
Annales scientifiques de l'École Normale Supérieure
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Bent Fuglede (1978)
Annales de l'institut Fourier
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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...