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On the harmonic Hopf construction |
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| Authors: | Andreas Gastel |
| Institution: | Mathematisches Institut der Heinrich-Heine-Universität, Universitätsstr. 1, D-40225 Düsseldorf, Germany |
| 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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