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A Space of Harmonic Maps from a Sphere into the Complex Projective Space
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- Journal:
- Canadian Journal of Mathematics / Volume 65 / Issue 4 / 01 August 2013
- Published online by Cambridge University Press:
- 20 November 2018, pp. 879-904
- Print publication:
- 01 August 2013
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- Article
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- You have access
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Guest–Ohnita and Crawford have shown the path-connectedness of the space of harmonic maps from
${{S}^{2}}$ to 
$\text{C}{{P}^{n}}$ of a fixed degree and energy. It is well known that the 
$\partial$ transform is defined on this space. In this paper, we will show that the space is decomposed into mutually disjoint connected subspaces on which $\partial$ is homeomorphic.
