## Polynomial harmonic morphisms between Euclidean spheres

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- by James Eells and Paul Yiu
- Proc. Amer. Math. Soc.
**123**(1995), 2921-2925 - DOI: https://doi.org/10.1090/S0002-9939-1995-1273489-4
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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.## References

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## Bibliographic Information

- © Copyright 1995 American Mathematical Society
- 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