Harmonic 2-spheres with $r$ pairs of extra eigenfunctions
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Abstract:
In the present paper, deformations of harmonic 2-spheres in the unit $n$-sphere $S^{n}$ respecting the degree are studied. The limit maps of such deformations are characterized as harmonic maps with extra eigenfunctions. The space $Harm_{d}(S^{2},S^{n})$ of harmonic 2-spheres in $S^{n}$ with fixed degree $d$ is described in terms of such deformations and the limit maps.References
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Additional Information
- Motoko Kotani
- Affiliation: Department of Mathematics, Faculty of Sciences, Toho University, Funabashi, Chiba, 274, Japan
- Email: kotani@tansei.cc.u-tokyo.ac.jp
- Received by editor(s): October 24, 1995
- Received by editor(s) in revised form: February 1, 1996
- Communicated by: Peter Li
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2083-2092
- MSC (1991): Primary 49F10; Secondary 58E20
- DOI: https://doi.org/10.1090/S0002-9939-97-03771-4
- MathSciNet review: 1372035