Harmonic 2-spheres

with pairs of extra eigenfunctions

Author:
Motoko Kotani

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

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Abstract | References | Similar Articles | Additional Information

Abstract: In the present paper, deformations of harmonic 2-spheres in the unit -sphere respecting the degree are studied. The limit maps of such deformations are characterized as harmonic maps with extra eigenfunctions. The space of harmonic 2-spheres in with fixed degree is described in terms of such deformations and the limit maps.

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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

DOI:
https://doi.org/10.1090/S0002-9939-97-03771-4

Keywords:
Harmonic 2-spheres,
extra eigenfunctions,
null curves

Received by editor(s):
October 24, 1995

Received by editor(s) in revised form:
February 1, 1996

Communicated by:
Peter Li

Article copyright:
© Copyright 1997
American Mathematical Society