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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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

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