Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-26T22:11:50.188Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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.

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Research supported by SERC Grant GR/J33043.