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Dressing orbits of super-horizontal holomorphic maps

Published online by Cambridge University Press:  01 July 1999

IAN McINTOSH
IAN McINTOSH
Affiliation:
Department of Mathematics and Statistics, University of Massachusetts, Amherst MA 01003-4515, USA
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Abstract

By studying dressing orbits a complete account is given of the (full) super-horizontal holomorphic maps of finite type from the 2-plane into a full flag manifold. It is shown that precisely one dressing orbit contains all 2-spheres of finite type. From this follows a simple description of all harmonic 2-spheres in CPn of finite type.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 127 , Issue 1 , July 1999 , pp. 149 - 157
Copyright
The Cambridge Philosophical Society 1999

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Footnotes

Research supported by SERC Grant GR/J33043.