Geodesic
The dimension and structure of the space of harmonic 2-spheres in the $m$-sphere
Luis Fernández 1
1 Department of Mathematics and Computer Science, Bronx Community College (CUNY), 2155 University Avenue, Bronx, NY 10453
Annals of mathematics, Tome 175 (2012) no. 3, pp. 1093-1125.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove the conjecture, posed in 1993 by Bolton and Woodward, that the dimension of the space of harmonic maps from the 2-sphere to the $2n$-sphere is $2d+n^2$. We also give an explicit algebraic method to construct all harmonic maps from the 2-sphere to the $m$-sphere.
DOI : 10.4007/annals.2012.175.3.3

Luis Fernández  1

1 Department of Mathematics and Computer Science, Bronx Community College (CUNY), 2155 University Avenue, Bronx, NY 10453 
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Luis Fernández . The dimension and structure of the space of harmonic 2-spheres in the $m$-sphere. Annals of mathematics, Tome 175 (2012) no. 3, pp. 1093-1125. doi : 10.4007/annals.2012.175.3.3. http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.175.3.3/

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