The Space of Harmonic Maps from the 2-Sphere to the Complex Projective Plane
Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 285-295
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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.
Crawford, T. Arleigh. The Space of Harmonic Maps from the 2-Sphere to the Complex Projective Plane. Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 285-295. doi: 10.4153/CMB-1997-035-4
@article{10_4153_CMB_1997_035_4,
author = {Crawford, T. Arleigh},
title = {The {Space} of {Harmonic} {Maps} from the {2-Sphere} to the {Complex} {Projective} {Plane}},
journal = {Canadian mathematical bulletin},
pages = {285--295},
year = {1997},
volume = {40},
number = {3},
doi = {10.4153/CMB-1997-035-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-035-4/}
}
TY - JOUR AU - Crawford, T. Arleigh TI - The Space of Harmonic Maps from the 2-Sphere to the Complex Projective Plane JO - Canadian mathematical bulletin PY - 1997 SP - 285 EP - 295 VL - 40 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-035-4/ DO - 10.4153/CMB-1997-035-4 ID - 10_4153_CMB_1997_035_4 ER -
%0 Journal Article %A Crawford, T. Arleigh %T The Space of Harmonic Maps from the 2-Sphere to the Complex Projective Plane %J Canadian mathematical bulletin %D 1997 %P 285-295 %V 40 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-035-4/ %R 10.4153/CMB-1997-035-4 %F 10_4153_CMB_1997_035_4
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