2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152094We 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 figuresDifferential Geometrytext