Linear -harmonic maps between Riemannian manifolds.
Wang, Ze-Ping (2009)
Beiträge zur Algebra und Geometrie
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Wang, Ze-Ping (2009)
Beiträge zur Algebra und Geometrie
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Choi, Gundon, Yun, Gabjin (2005)
International Journal of Mathematics and Mathematical Sciences
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Dong Zhang (1994)
Annales de l'I.H.P. Analyse non linéaire
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A. Mohammed Cherif, Djaa Mustapha (2014)
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],...
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...
Yun, Gabjin (2001)
International Journal of Mathematics and Mathematical Sciences
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Course, Neil (2007)
The New York Journal of Mathematics [electronic only]
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Yunmei Chen, Jianmin Gao (1994)
Mathematische Zeitschrift
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Anders Kock (2004)
Open Mathematics
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We describe for any Riemannian manifold M a certain scheme M L, lying in between the first and second neighbourhood of the diagonal of M. Semi-conformal maps between Riemannian manifolds are then analyzed as those maps that preserve M L; harmonic maps are analyzed as those that preserve the (Levi-Civita-) mirror image formation inside M L.