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• W2036774706 abstract "We study the transformation of a p-harmonic morphism into a q-harmonic morphism via biconformal change of the domain metric and/or conformal change of the codomain metric. As an application of p-harmonic morphisms, we characterize a twisted product among doubly twisted products and a warped product among twisted products using p-harmonicity of their projection maps. We describe those p-harmonic morphisms which are also biharmonic morphisms and give a complete classification of polynomial biharmonic morphisms between Euclidean spaces. Finally, we show that a horizontally homothetic harmonic morphism with harmonic energy density pulls back a nonharmonic biharmonic map to a nonharmonic biharmonic map and that totally geodesic immersing the target manifold of a nonharmonic biharmonic map into an ambient manifold produces a new nonharmonic biharmonic map. These methods are used to construct many examples of nontrivial biharmonic maps." @default.
• W2036774706 created "2016-06-24" @default.
• W2036774706 creator A5010070592 @default.
• W2036774706 date "2006-03-01" @default.
• W2036774706 modified "2023-09-26" @default.
• W2036774706 title "p-Harmonic morphisms, biharmonic morphisms, and nonharmonic biharmonic maps" @default.
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• W2036774706 doi "https://doi.org/10.1016/j.geomphys.2005.02.005" @default.
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