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Polynomial harmonic morphisms between Euclidean spheres

Authors: James Eells and Paul Yiu
Journal: Proc. Amer. Math. Soc. 123 (1995), 2921-2925
MSC: Primary 58E20; Secondary 55R25
MathSciNet review: 1273489
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Abstract: A characterization is given of the harmonic morphisms between euclidean spheres whose component functions are harmonic homogeneous polynomials of the same degree, and also of polynomial harmonic morphisms between euclidean spaces which map spheres into spheres. These turn out to be isometric to the classical Hopf fibrations.

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Keywords: Harmonic morphisms, Hopf fibrations, orthogonal multiplications, polynomial maps between spheres
Article copyright: © Copyright 1995 American Mathematical Society

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