scholarly journals Harmonic maps from surfaces to complex projective spaces

1983 ◽  
Vol 49 (3) ◽  
pp. 217-263 ◽  
Author(s):  
J Eells ◽  
C Wood
Keyword(s):  
Harmonic Maps ◽  
Projective Spaces ◽  
Complex Projective Spaces ◽  
Complex Projective

Harmonic maps between complex projective spaces

1990 ◽  
Vol 33 (1) ◽  
Author(s):  
D. Barbasch ◽  
J.F. Glazebrook ◽  
G. Toth
Keyword(s):  
Harmonic Maps ◽  
Projective Spaces ◽  
Complex Projective Spaces ◽  
Complex Projective

scholarly journals The index of harmonic maps from surfaces to complex projective spaces

2020 ◽  
Vol 31 (09) ◽  
pp. 2050069
Author(s):  
J. Oliver
Keyword(s):  
Projective Space ◽  
Lower Bounds ◽  
Complex Projective Space ◽  
Harmonic Maps ◽  
Projective Spaces ◽  
Line Bundles ◽  
Complex Projective Spaces ◽  
Holomorphic Sections ◽  
Higher Genus ◽  
Complex Projective

We estimate the dimensions of the spaces of holomorphic sections of certain line bundles to give improved lower bounds on the index of complex isotropic harmonic maps to complex projective space from the sphere and torus, and in some cases from higher genus surfaces.

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