HARMONIC TWO-SPHERES IN THE SYMPLECTIC GROUP Sp(n)

@article{Pacheco2006HARMONICTI,
  title={HARMONIC TWO-SPHERES IN THE SYMPLECTIC GROUP Sp(n)},
  author={Rui Pacheco},
  journal={International Journal of Mathematics},
  year={2006},
  volume={17},
  pages={295-311}
}
  • R. Pacheco
  • Published 1 March 2006
  • Mathematics
  • International Journal of Mathematics
We shall exploit the Grassmannian theoretic point of view introduced by Segal in order to study harmonic maps from a two-sphere into the symplectic group Sp(n). By using this methodology, we shall be able to deduce an "uniton factorization" of such maps and an alternative characterization of harmonic two-spheres in the quaternionic projective space ℍPn. 
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