Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals → CJM
Abstract view

# A Space of Harmonic Maps from the Sphere into the Complex Projective Space

Published:2012-12-29
Printed: Aug 2013
• Hiroko Kawabe,
Toin University of Yokohama, 1614,Kurogane-Cho,Aoba-Ku,Yokohama-Shi 225-8502, Japan
 Format: LaTeX MathJax PDF

## Abstract

Guest-Ohnita and Crawford have shown the path-connectedness of the space of harmonic maps from $S^2$ to $\mathbf{C} P^n$ of a fixed degree and energy.It is well-known that the $\partial$ transform is defined on this space. In this paper,we will show that the space is decomposed into mutually disjoint connected subspaces on which $\partial$ is homeomorphic.
 Keywords: harmonic maps, harmonic sequences, gluing
 MSC Classifications: 58E20 - Harmonic maps [See also 53C43], etc. 58D15 - Manifolds of mappings [See also 46T10, 54C35]

 top of page | contact us | privacy | site map |

© Canadian Mathematical Society, 2016 : https://cms.math.ca/