The Space of Harmonic Maps from the 2-sphere to the Complex Projective Plane
Abstract
Description
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.
Plain TeX, 11 pages, no figures
Plain TeX, 11 pages, no figures