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HARMONIC TWO-SPHERES IN THE SYMPLECTIC GROUP Sp(n)
Abstract
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.
Keywords:
AMSC: 53C43, 58E20
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