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

DOI:
https://doi.org/10.1090/S0002-9939-1995-1273489-4

MathSciNet review:
1273489

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1995-1273489-4

Keywords:
Harmonic morphisms,
Hopf fibrations,
orthogonal multiplications,
polynomial maps between spheres

Article copyright:
© Copyright 1995
American Mathematical Society