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International Journal of Mathematics and Mathematical Sciences

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Volume 2005 |Article ID 260850 | https://doi.org/10.1155/IJMMS.2005.3199

Rui Pacheco, "Twistor fibrations giving primitive harmonic maps of finite type", International Journal of Mathematics and Mathematical Sciences, vol. 2005, Article ID 260850, 14 pages, 2005. https://doi.org/10.1155/IJMMS.2005.3199

Twistor fibrations giving primitive harmonic maps of finite type

Rui Pacheco1

1Departamento de Matemática, Universidade da Beira Interior, Rua Marquês d'Ávila e Bolama, Portugal

Received04 Apr 2005
Revised03 Oct 2005

Abstract

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/H→G/K, with H⊂K, preserving finite-type property for primitive harmonic maps.

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.

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