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On the harmonic Hopf construction
Author(s):
Andreas
Gastel
Journal:
Proc. Amer. Math. Soc.
132
(2004),
607-615.
MSC (2000):
Primary 58E20
Posted:
June 30, 2003
MathSciNet review:
2022387
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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).
References:
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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
DOI:
10.1090/S0002-9939-03-07062-X
PII:
S 0002-9939(03)07062-X
Received by editor(s):
July 12, 2001
Received by editor(s) in revised form:
September 27, 2002
Posted:
June 30, 2003
Communicated by:
Bennett Chow
Copyright of article:
Copyright
2003,
American Mathematical Society
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