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1 results

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

  • T. Arleigh Crawford
  • Journal:
    Canadian Mathematical Bulletin / Volume 40 / Issue 3 / 01 September 1997
    Published online by Cambridge University Press:
    20 November 2018, pp. 285-295
    Print publication:
    01 September 1997
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  • In this paper we study the topology of the space of harmonic maps from S2 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.