Geodesic
A Space of Harmonic Maps from a Sphere into the Complex Projective Space
Canadian journal of mathematics, Tome 65 (2013) no. 4, pp. 879-904

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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.
DOI : 10.4153/CJM-2012-052-6
Mots-clés : 58E20, 58D15, harmonic maps, harmonic sequences, gluing 
Kawabe, Hiroko. A Space of Harmonic Maps from a Sphere into the Complex Projective Space. Canadian journal of mathematics, Tome 65 (2013) no. 4, pp. 879-904. doi: 10.4153/CJM-2012-052-6
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     title = {A {Space} of {Harmonic} {Maps} from a {Sphere} into the {Complex} {Projective} {Space}},
     journal = {Canadian journal of mathematics},
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