Harmonic mappings into manifolds with boundary
Yun Mei Chen, Roberta Musina (1990)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Yun Mei Chen, Roberta Musina (1990)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Frédéric Hélein (1992)
Banach Center Publications
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M. Giaquinta, J. Souček (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Dong Zhang (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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F. Duzaar, M. Fuchs (1990)
Annales de l'I.H.P. Analyse non linéaire
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Y.-J. Chiang, A. Ratto (1992)
Bulletin de la Société Mathématique de France
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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...