On the harmonic Hopf construction-Reference-Cited by-同舟云学术

On the harmonic Hopf construction

Published:2003-06-30 Issue:2 Volume:132 Page:607-615
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Gastel Andreas

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).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-02/S0002-9939-03-07062-X/S0002-9939-03-07062-X.pdf

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