Harmonicity of horizontally conformal maps and spectrum of the Laplacian.
Yun, Gabjin (2002)
International Journal of Mathematics and Mathematical Sciences
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Yun, Gabjin (2002)
International Journal of Mathematics and Mathematical Sciences
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Anderson, G.D., Lehtinen, M., Vuorinen, M. (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Annales de l'I.H.P. Analyse non linéaire
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Jürgen Jost (1986)
Compositio Mathematica
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B. Oksendal (1984)
Inventiones mathematicae
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Jürgen Jost (1985)
Annales de l'I.H.P. Analyse non linéaire
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C. Oniciuc (2003)
Colloquium Mathematicae
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We give some new methods to construct nonharmonic biharmonic maps in the unit n-dimensional sphere 𝕊ⁿ.
Ornea, Liviu, Romani, Giuliano (1993)
Beiträge zur Algebra und Geometrie
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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],...