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

Abstract

We study the topology of the space of harmonic maps from $S^2$ to \CP 2$.Weprovethatthesubspacesconsistingofmapsofafixeddegreeandenergyarepathconnected.ByaresultofGuestandOhnitaitfollowsthatthesameistrueforthespaceofharmonicmapsto$\CP n$for$n\geq 2$.Weshowthatthecomponentsofmapsto$\CP 2$ are complex manifolds.

arXiv commentPlain TeX, 11 pages, no figures

Cited by in corpus (1)

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