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

Published online by Cambridge University Press:  20 November 2018

T. Arleigh Crawford
T. Arleigh Crawford*
Affiliation:
Fields Instutute for Research in Mathematical Sciences, Toronto, Ontario, e-mail: acrawfor@interlog.com
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Abstract

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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.

Keywords

Primary: 58E20secondary: 58D27
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 40 , Issue 3 , 01 September 1997 , pp. 285 - 295
Copyright
Copyright © Canadian Mathematical Society 1997

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