International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 20, Pages 3199-3212

Twistor fibrations giving primitive harmonic maps of finite type

Rui Pacheco

Departamento de Matemática, Universidade da Beira Interior, Rua Marquês d'Ávila e Bolama, Covilhã 6201-001, Portugal

Received 4 April 2005; Revised 3 October 2005

Copyright © 2005 Rui Pacheco. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Primitive harmonic maps of finite type from a Riemann surface M into a k-symmetric space G/H are obtained by integrating a pair of commuting Hamiltonian vector fields on certain finite-dimensional subspaces of loop algebras. We will clarify and generalize Ohnita and Udagawa's results concerning homogeneous projections p:G/HG/K, with HK, preserving finite-type property for primitive harmonic maps.