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A Space of Harmonic Maps from a Sphere into the Complex Projective Space

Published online by Cambridge University Press:  20 November 2018

Hiroko Kawabe
Hiroko Kawabe*
Affiliation:
Toin University of Yokohama, 1614, Kurogane-Cho, Aoba-Ku, Yokohama-Shi 225-8502, Japan, e-mail: kawabe@cc.toin.ac.jp
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Abstract

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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.

Keywords

58E2058D15harmonic mapsharmonic sequencesgluing
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 65 , Issue 4 , 01 August 2013 , pp. 879 - 904
Copyright
Copyright © Canadian Mathematical Society 2013

References

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