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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Displaying similar documents to “Removability of singularities of harmonic maps into pseudo-riemannian manifolds”
Harmonic mappings into manifolds with boundary
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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...