-harmonic maps which map the boundary of the domain to one point in the target.
Course, Neil (2007)
The New York Journal of Mathematics [electronic only]
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Displaying similar documents to “Harmonic mappings into manifolds with boundary”
-harmonic maps which map the boundary of the domain to one point in the target.
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Commentationes Mathematicae Universitatis Carolinae
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In this paper, we study the characterization of generalized -harmonic morphisms between Riemannian manifolds. We prove that a map between Riemannian manifolds is an -harmonic morphism if and only if it is a horizontally weakly conformal map satisfying some further conditions. We present new properties generalizing Fuglede-Ishihara characterization for harmonic morphisms ([Fuglede B., Harmonic morphisms between Riemannian manifolds, Ann. Inst. Fourier (Grenoble) 28 (1978), 107–144],...