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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the harmonic Hopf construction
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by Andreas Gastel PDF
Proc. Amer. Math. Soc. 132 (2004), 607-615 Request permission

Abstract:

The harmonic Hopf construction is an equivariant ansatz for harmonic maps between Euclidean spheres. We prove existence of solutions in the case that has been open. Moreover, we show that the harmonic Hopf construction on every bi-eigenmap with at least one large eigenvalue has a countable family of solutions (if it has one).
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Additional Information
  • Andreas Gastel
  • Affiliation: Mathematisches Institut der Heinrich-Heine-Universität, Universitätsstr. 1, D-40225 Düsseldorf, Germany
  • Email: gastel@cs.uni-duesseldorf.de
  • Received by editor(s): July 12, 2001
  • Received by editor(s) in revised form: September 27, 2002
  • Published electronically: June 30, 2003
  • Communicated by: Bennett Chow
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 607-615
  • MSC (2000): Primary 58E20
  • DOI: https://doi.org/10.1090/S0002-9939-03-07062-X
  • MathSciNet review: 2022387