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

T. Arleigh Crawford
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Abstract

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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BibTeXRIS

T. Arleigh Crawford. 1995-12-05. The Space of Harmonic Maps from the 2-sphere to the Complex Projective Plane. https://arxiv.org/abs/dg-ga/9512004

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