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On the space of harmonic 2-spheres in CP2

par Lemaire, Luc ;Wood, J.C.
Référence International journal of mathematics, 7, 2, page (211-225)
Publication Publié, 1996-04

Article révisé par les pairs

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Résumé :

Carrying further the work of T. A. Crawford, we show that each component of the space of harmonic maps from the 2-sphere to complex projective 2-space of degree d and energy 4πE is a smooth closed submanifold of the space of all Cj maps (j ≥ 2). We achieve this by showing that the Gauss transform which relates them to spaces of holomorphic maps of given degree and ramification index is smooth and has injective differential.