Hostname: page-component-76fb5796d-skm99 Total loading time: 0 Render date: 2024-04-27T14:45:43.093Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)