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

Crawford, T. Arleigh

Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 285-295

Résumé

In this paper we study the topology of the space of harmonic maps from S 2 to CP2.We prove that the subspaces consisting of maps of a fixed degree and energy are path connected. By a result of Guest and Ohnita it follows that the same is true for the space of harmonic maps to CPn for n ≥ 2. We show that the components of maps to CP2 are complex manifolds.

Détail

DOI : 10.4153/CMB-1997-035-4

Mots-clés : Primary: 58E20, secondary: 58D27

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