The Space of Harmonic Maps from the 2-sphere to the Complex Projective Plane

Details The Space of Harmonic Maps from the 2-sphere to the Complex Projective Plane The Space of Harmonic Maps from the 2-sphere to the Complex Projective Plane

1995-12-05

arxiv.org/abs/dg-ga/9512004v1

Mathematics

Differential Geometry

Plain TeX, 11 pages, no figures

Scientific paper

We study the topology of the space of harmonic maps from $S^2$ to \CP 2$. We
prove that the subspaces consisting of maps of a fixed degree and energy are
path connected. By a result of Guest and Ohnita it follows that the same is
true for the space of harmonic maps to $\CP n$ for $n\geq 2$. We show that the
components of maps to $\CP 2$ are complex manifolds.

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