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THE DIMENSION OF THE SPACE OF HARMONIC 2-SPHERES IN THE 6-SPHERE

Published online by Cambridge University Press:  30 January 2006

LUIS FERNÁNDEZ
LUIS FERNÁNDEZ
Affiliation:
Departamento de Matemáticas, Universidad de los Andes, Cra. 1 # 18A-70, Bogotá, Colombialfernand@uniandes.edu.co
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Abstract

Using the twistorial approach and some previous results, we prove the conjecture that the dimension of the moduli space of harmonic maps of area $4 \pi d$ from the 2-sphere to the $2n$-sphere is $2 d+n^2$ for the particular case $n=3$.

Keywords

53A10 (primary)53C42 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 1 , February 2006 , pp. 156 - 162
Copyright
The London Mathematical Society 2006

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