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

1995/12/05 by T. Arleigh Crawford, Crawford, T. Arleigh
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #dg-ga #math.DG

paper · pdf · doi:10.48550/arxiv.dg-ga/9512004

Plain TeX, 11 pages, no figures

arxiv created 1995/12/05 · arxiv updated 2009/11/30

Abstract

We study the topology of the space of harmonic maps from S² 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≥ 2. We show that the components of maps to \CP 2 are complex manifolds.

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